Cremona's table of elliptic curves

115 = 5 · 23

Field	Data	Notes
Atkin-Lehner	5+ 23-	Signs for the Atkin-Lehner involutions
Class	115a	Isogeny class
Conductor	115	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	10	Modular degree for the optimal curve
Δ	-71875 = -1 · 55 · 23	Discriminant
Eigenvalues	2  0 5+  1  2 -2  3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,7,-11]	[a1,a2,a3,a4,a6]
j	37933056/71875	j-invariant
L	1.8080388809844	L(r)(E,1)/r!
Ω	1.8080388809844	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1840e1 7360k1 1035e1 575b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 115a1

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	0	+	1	2	-2	3	-2	-	7	-5	11	1	0	0	11	-13	-8	5	5	6	-12	9	4	-14

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Quadratic twists for elliptic curve 115a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1840e1	7360k1	1035e1	575b1	5635l1	13915e1	19435e1	33235d1	41515d1	2645c1	96715b1	110515a1

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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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