Cremona's table of elliptic curves

19776 = 2⁶ · 3 · 103

Field	Data	Notes
Atkin-Lehner	2+ 3+ 103-	Signs for the Atkin-Lehner involutions
Class	19776d	Isogeny class
Conductor	19776	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	12480	Modular degree for the optimal curve
Δ	-2639858688 = -1 · 210 · 35 · 1032	Discriminant
Eigenvalues	2+ 3+  0  4 -4 -6 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,187,-2331]	[a1,a2,a3,a4,a6]
j	702464000/2577987	j-invariant
L	0.73227629133283	L(r)(E,1)/r!
Ω	0.73227629133284	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19776bb1 1236c1 59328o1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 19776d1

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	4	-4	-6	-6	0	-6	2	0	10	6	-12	-4	-4	-6	-10	-4	8	-10	-8	6	-8	2

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Quadratic twists for elliptic curve 19776d1

-4	8	-3
19776bb1	1236c1	59328o1

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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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