Cremona's table of elliptic curves

7310 = 2 · 5 · 17 · 43

Field	Data	Notes
Atkin-Lehner	2+ 5+ 17- 43-	Signs for the Atkin-Lehner involutions
Class	7310f	Isogeny class
Conductor	7310	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	854977600 = 26 · 52 · 172 · 432	Discriminant
Eigenvalues	2+  0 5+  0  4  2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-265,-819]	[a1,a2,a3,a4,a6]
Generators	[35:161:1]	Generators of the group modulo torsion
j	2062447296489/854977600	j-invariant
L	2.8825498091873	L(r)(E,1)/r!
Ω	1.2272036246035	Real period
R	2.3488765445251	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	58480f2 65790ck2 36550o2 124270m2	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 7310f2

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

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Quadratic twists for elliptic curve 7310f2

-4	-3	5	17
58480f2	65790ck2	36550o2	124270m2

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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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