Cremona's table of elliptic curves

7440 = 2⁴ · 3 · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 31+	Signs for the Atkin-Lehner involutions
Class	7440n	Isogeny class
Conductor	7440	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	13059552706560 = 225 · 34 · 5 · 312	Discriminant
Eigenvalues	2- 3+ 5- -4 -2  2  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3495160,-2513897360]	[a1,a2,a3,a4,a6]
Generators	[213393862:-1836298557:97336]	Generators of the group modulo torsion
j	1152829477932246539641/3188367360	j-invariant
L	3.2355565702194	L(r)(E,1)/r!
Ω	0.1104161955025	Real period
R	14.65163944245	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	930j2 29760ch2 22320bl2 37200cx2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7440n2

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

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Quadratic twists for elliptic curve 7440n2

-4	8	-3	5
930j2	29760ch2	22320bl2	37200cx2

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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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