Cremona's table of elliptic curves

7308 = 2² · 3² · 7 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 29+	Signs for the Atkin-Lehner involutions
Class	7308b	Isogeny class
Conductor	7308	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	88991094528 = 28 · 310 · 7 · 292	Discriminant
Eigenvalues	2- 3-  2 7+  2 -2 -8  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1119,-1258]	[a1,a2,a3,a4,a6]
Generators	[-14:108:1]	Generators of the group modulo torsion
j	830321872/476847	j-invariant
L	4.5902264230569	L(r)(E,1)/r!
Ω	0.89671262033774	Real period
R	2.5594746404528	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	29232bm2 116928bq2 2436b2 51156p2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7308b2

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	-2	-8	4	-4	+	4	-2	12	-2	0	6	4	-8	-16	-12	-4	-10	-12	0	-12

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Quadratic twists for elliptic curve 7308b2

-4	8	-3	-7
29232bm2	116928bq2	2436b2	51156p2

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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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