Cremona's table of elliptic curves

19530 = 2 · 3² · 5 · 7 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 31-	Signs for the Atkin-Lehner involutions
Class	19530bx	Isogeny class
Conductor	19530	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	719013130670542680 = 23 · 310 · 5 · 73 · 316	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-608288,178140971]	[a1,a2,a3,a4,a6]
Generators	[547:2701:1]	Generators of the group modulo torsion
j	34144696869398652601/986300590768920	j-invariant
L	7.4544638057419	L(r)(E,1)/r!
Ω	0.28428528451401	Real period
R	4.3702952701694	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	6510k4 97650ba4	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 19530bx4

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

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Quadratic twists for elliptic curve 19530bx4

-3	5
6510k4	97650ba4

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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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