Cremona's table of elliptic curves

1932 = 2² · 3 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 23+	Signs for the Atkin-Lehner involutions
Class	1932b	Isogeny class
Conductor	1932	Conductor
∏ cp	15	Product of Tamagawa factors cp
Δ	-3.8431813934152E+19	Discriminant
Eigenvalues	2- 3-  0 7-  3  2  0  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-148013,299020767]	[a1,a2,a3,a4,a6]
j	-1400832679220224000/150124273180279587	j-invariant
L	2.5238536382586	L(r)(E,1)/r!
Ω	0.16825690921724	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	7728i2 30912h2 5796h2 48300e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1932b2

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
-	-	0	-	3	2	0	5	+	6	-10	2	3	-4	3	3	9	-1	8	-12	8	14	6	-6	-10

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Quadratic twists for elliptic curve 1932b2

-4	8	-3	5	-7	-23
7728i2	30912h2	5796h2	48300e2	13524e2	44436i2

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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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