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	1938c	Isogeny class
Conductor	1938	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-34734045312 = -1 · 27 · 32 · 174 · 192	Discriminant
Eigenvalues	2+ 3+  0  0  4  4 17+ 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,340,-8496]	[a1,a2,a3,a4,a6]
j	4326762872375/34734045312	j-invariant
L	1.1532408843351	L(r)(E,1)/r!
Ω	0.57662044216753	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	15504s2 62016s2 5814s2 48450bw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1938c2

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

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Quadratic twists for elliptic curve 1938c2

-4	8	-3	5	-7	17	-19
15504s2	62016s2	5814s2	48450bw2	94962u2	32946j2	36822x2

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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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