Cremona's table of elliptic curves

1938 = 2 · 3 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 17+ 19-	Signs for the Atkin-Lehner involutions
Class	1938i	Isogeny class
Conductor	1938	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-404379204 = -1 · 22 · 3 · 173 · 193	Discriminant
Eigenvalues	2- 3-  3 -1  6 -4 17+ 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-54,-984]	[a1,a2,a3,a4,a6]
j	-17434421857/404379204	j-invariant
L	4.370848008001	L(r)(E,1)/r!
Ω	0.72847466800017	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	15504l2 62016d2 5814k2 48450j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1938i2

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
-	-	3	-1	6	-4	+	-	6	-6	-10	2	0	-10	9	9	12	2	-7	-3	-4	-10	3	3	-1

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Quadratic twists for elliptic curve 1938i2

-4	8	-3	5	-7	17	-19
15504l2	62016d2	5814k2	48450j2	94962bq2	32946t2	36822d2

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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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