Cremona's table of elliptic curves

148 = 2² · 37

Field	Data	Notes
Atkin-Lehner	2- 37-	Signs for the Atkin-Lehner involutions
Class	148a	Isogeny class
Conductor	148	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	12	Modular degree for the optimal curve
Δ	9472 = 28 · 37	Discriminant
Eigenvalues	2- -1 -4 -3  5  0 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5,1]	[a1,a2,a3,a4,a6]
Generators	[-1:2:1]	Generators of the group modulo torsion
j	65536/37	j-invariant
L	0.97732749000911	L(r)(E,1)/r!
Ω	3.3849941576738	Real period
R	0.096241179401892	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	592d1 2368b1 1332e1 3700a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 148a1

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	-4	-3	5	0	-6	2	-6	-6	4	-	-9	4	-7	9	-4	-8	-12	3	-5	6	-1	2	0

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Quadratic twists for elliptic curve 148a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	37
592d1	2368b1	1332e1	3700a1	7252a1	17908d1	25012a1	42772a1	53428c1	78292c1	124468a1	5476a1

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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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