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	3072	Product of Tamagawa factors cp
Δ	-1.4820022223528E+27	Discriminant
Eigenvalues	2- 3- 5- 7+ 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,169140960,-1647270873612]	[a1,a2,a3,a4,a6]
Generators	[12132:1480050:1]	Generators of the group modulo torsion
j	130650216943167617311657439/361816948816603087500000	j-invariant
L	6.4867699798272	L(r)(E,1)/r!
Ω	0.024562074386106	Real period
R	5.5020206812355	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	2310o6 73920dz5 55440cs5 92400ek5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480da6

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 18480da6

-4	8	-3	5	-7
2310o6	73920dz5	55440cs5	92400ek5	129360ef5

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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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