Cremona's table of elliptic curves

7840 = 2⁵ · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 5- 7-	Signs for the Atkin-Lehner involutions
Class	7840h	Isogeny class
Conductor	7840	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	263533760000 = 29 · 54 · 77	Discriminant
Eigenvalues	2+  0 5- 7-  4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4067,96726]	[a1,a2,a3,a4,a6]
Generators	[-70:196:1]	Generators of the group modulo torsion
j	123505992/4375	j-invariant
L	4.3832359534691	L(r)(E,1)/r!
Ω	0.97464431106994	Real period
R	2.2486336316155	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7840w2 15680e3 70560dn3 39200bq3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7840h3

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
+	0	-	-	4	-2	-6	4	-8	6	0	10	-10	12	0	-6	-12	-2	4	-12	10	-4	0	-18	10

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Quadratic twists for elliptic curve 7840h3

-4	8	-3	5	-7
7840w2	15680e3	70560dn3	39200bq3	1120c2

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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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