Cremona's table of elliptic curves

915 = 3 · 5 · 61

Field	Data	Notes
Atkin-Lehner	3- 5- 61+	Signs for the Atkin-Lehner involutions
Class	915d	Isogeny class
Conductor	915	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	144	Modular degree for the optimal curve
Δ	-12558375 = -1 · 33 · 53 · 612	Discriminant
Eigenvalues	-1 3- 5- -2 -2 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,50,107]	[a1,a2,a3,a4,a6]
Generators	[-1:8:1]	Generators of the group modulo torsion
j	13806727199/12558375	j-invariant
L	1.8627134121558	L(r)(E,1)/r!
Ω	1.4688651520363	Real period
R	0.28180688556642	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	14640x1 58560j1 2745a1 4575a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 915d1

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	-	-	-2	-2	-2	-2	-4	0	0	0	-4	-10	10	-8	-6	6	+	-10	-14	-2	12	4	-16	10

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Quadratic twists for elliptic curve 915d1

-4	8	-3	5	-7	-11	61
14640x1	58560j1	2745a1	4575a1	44835h1	110715u1	55815k1

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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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