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	18480de	Isogeny class
Conductor	18480	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	69120	Modular degree for the optimal curve
Δ	2874009600000 = 214 · 36 · 55 · 7 · 11	Discriminant
Eigenvalues	2- 3- 5- 7+ 11-  4 -4 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-79920,8669268]	[a1,a2,a3,a4,a6]
Generators	[306:3600:1]	Generators of the group modulo torsion
j	13782741913468081/701662500	j-invariant
L	6.4779485624515	L(r)(E,1)/r!
Ω	0.75890945193979	Real period
R	0.28452883041114	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2310p1 73920eg1 55440cy1 92400es1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480de1

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
-	-	-	+	-	4	-4	-8	-2	-6	4	4	2	-4	4	2	0	10	-14	-8	-10	-4	4	16	-14

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Quadratic twists for elliptic curve 18480de1

-4	8	-3	5	-7
2310p1	73920eg1	55440cy1	92400es1	129360el1

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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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