Cremona's table of elliptic curves

7105 = 5 · 7² · 29

Field	Data	Notes
Atkin-Lehner	5- 7- 29+	Signs for the Atkin-Lehner involutions
Class	7105a	Isogeny class
Conductor	7105	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-2473570225 = -1 · 52 · 76 · 292	Discriminant
Eigenvalues	-1  0 5- 7- -6 -2  2  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,113,-2376]	[a1,a2,a3,a4,a6]
Generators	[18:63:1]	Generators of the group modulo torsion
j	1367631/21025	j-invariant
L	2.313508936779	L(r)(E,1)/r!
Ω	0.70765895013981	Real period
R	1.6346214064854	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	113680bl2 63945s2 35525d2 145a2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7105a2

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
-1	0	-	-	-6	-2	2	2	2	+	-2	10	-2	8	12	-6	8	6	2	-12	6	-10	14	-18	-2

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Quadratic twists for elliptic curve 7105a2

-4	-3	5	-7
113680bl2	63945s2	35525d2	145a2

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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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