Cremona's table of elliptic curves

152 = 2³ · 19

Field	Data	Notes
Atkin-Lehner	2+ 19+	Signs for the Atkin-Lehner involutions
Class	152a	Isogeny class
Conductor	152	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	8	Modular degree for the optimal curve
Δ	-4864 = -1 · 28 · 19	Discriminant
Eigenvalues	2+ -2 -1 -3 -3 -4  5 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1,3]	[a1,a2,a3,a4,a6]
Generators	[-1:2:1]	Generators of the group modulo torsion
j	-1024/19	j-invariant
L	0.95391806584767	L(r)(E,1)/r!
Ω	3.6456468989761	Real period
R	0.065414869588412	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	304d1 1216g1 1368f1 3800c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 152a1

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	-1	-3	-3	-4	5	+	0	2	8	-10	6	-7	-9	-8	14	-5	0	-6	-15	-4	4	0	16

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Quadratic twists for elliptic curve 152a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29
304d1	1216g1	1368f1	3800c1	7448g1	18392i1	25688i1	43928a1	2888f1	80408i1	127832e1

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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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