Cremona's table of elliptic curves

3819 = 3 · 19 · 67

Field	Data	Notes
Atkin-Lehner	3+ 19+ 67-	Signs for the Atkin-Lehner involutions
Class	3819c	Isogeny class
Conductor	3819	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	440	Modular degree for the optimal curve
Δ	-309339 = -1 · 35 · 19 · 67	Discriminant
Eigenvalues	0 3+  3 -2  5 -1  6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,11,-27]	[a1,a2,a3,a4,a6]
j	134217728/309339	j-invariant
L	1.5862711946017	L(r)(E,1)/r!
Ω	1.5862711946017	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	61104x1 11457c1 95475e1 72561i1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 3819c1

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	5	-1	6	+	-6	2	5	4	8	-4	-6	-2	-9	12	-	3	2	-8	2	-1	-2

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Quadratic twists for elliptic curve 3819c1

-4	-3	5	-19
61104x1	11457c1	95475e1	72561i1

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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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