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
deg	96	Modular degree for the optimal curve
Δ	147825 = 34 · 52 · 73	Discriminant
Eigenvalues	-1 3- 5+  0  0 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-41,96]	[a1,a2,a3,a4,a6]
Generators	[-5:16:1]	Generators of the group modulo torsion
j	7633736209/147825	j-invariant
L	1.8733438447759	L(r)(E,1)/r!
Ω	3.2576723077074	Real period
R	1.1501119006622	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	17520j1 70080m1 3285a1 5475b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1095a1

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 1095a1

-4	8	-3	5	-7	73
17520j1	70080m1	3285a1	5475b1	53655l1	79935c1

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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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