Cremona's table of elliptic curves

1095 = 3 · 5 · 73

Field	Data	Notes
Atkin-Lehner	3- 5+ 73-	Signs for the Atkin-Lehner involutions
Class	1095a	Isogeny class
Conductor	1095	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	29975625 = 32 · 54 · 732	Discriminant
Eigenvalues	-1 3- 5+  0  0 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-86,-165]	[a1,a2,a3,a4,a6]
Generators	[-6:15:1]	Generators of the group modulo torsion
j	70393838689/29975625	j-invariant
L	1.8733438447759	L(r)(E,1)/r!
Ω	1.6288361538537	Real period
R	2.3002238013244	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	17520j2 70080m2 3285a2 5475b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1095a2

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	0	-2	-2	-4	0	-6	8	6	2	-4	-12	-6	-8	-2	-4	-16	-	-8	0	-6	-14

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Quadratic twists for elliptic curve 1095a2

-4	8	-3	5	-7	73
17520j2	70080m2	3285a2	5475b2	53655l2	79935c2

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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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