Cremona's table of elliptic curves

3933 = 3² · 19 · 23

Field	Data	Notes
Atkin-Lehner	3- 19- 23+	Signs for the Atkin-Lehner involutions
Class	3933d	Isogeny class
Conductor	3933	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	-3876077691 = -1 · 36 · 19 · 234	Discriminant
Eigenvalues	0 3-  1 -5  1  0  7 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,168,-2876]	[a1,a2,a3,a4,a6]
Generators	[178:2380:1]	Generators of the group modulo torsion
j	719323136/5316979	j-invariant
L	2.7635148960994	L(r)(E,1)/r!
Ω	0.69377729880325	Real period
R	0.99582203859452	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	62928bb1 437a1 98325bt1 74727m1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 3933d1

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	-	1	-5	1	0	7	-	+	-6	4	2	2	-5	3	4	-6	11	-16	10	-7	4	-4	16	-4

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Quadratic twists for elliptic curve 3933d1

-4	-3	5	-19	-23
62928bb1	437a1	98325bt1	74727m1	90459k1

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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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