Cremona's table of elliptic curves

18480 = 2⁴ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	18480da	Isogeny class
Conductor	18480	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	394969321140387840 = 222 · 33 · 5 · 78 · 112	Discriminant
Eigenvalues	2- 3- 5- 7+ 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1427374880,-20757026649612]	[a1,a2,a3,a4,a6]
Generators	[238307819:-24135322596:4913]	Generators of the group modulo torsion
j	78519570041710065450485106721/96428056919040	j-invariant
L	6.4867699798272	L(r)(E,1)/r!
Ω	0.024562074386106	Real period
R	11.004041362471	Regulator
r	1	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2310o4 73920dz4 55440cs4 92400ek4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480da3

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	-	+	-	-2	2	4	-8	6	-8	-2	2	-4	-8	-10	12	-2	4	-8	2	-16	4	-14	10

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Quadratic twists for elliptic curve 18480da3

-4	8	-3	5	-7
2310o4	73920dz4	55440cs4	92400ek4	129360ef4

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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