Cremona's table of elliptic curves

938 = 2 · 7 · 67

Field	Data	Notes
Atkin-Lehner	2- 7- 67-	Signs for the Atkin-Lehner involutions
Class	938d	Isogeny class
Conductor	938	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	528	Modular degree for the optimal curve
Δ	122945536 = 218 · 7 · 67	Discriminant
Eigenvalues	2-  1  3 7- -6  5  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-179,737]	[a1,a2,a3,a4,a6]
j	634504103857/122945536	j-invariant
L	3.5295710044442	L(r)(E,1)/r!
Ω	1.7647855022221	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	7504p1 30016t1 8442b1 23450a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 938d1

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
-	1	3	-	-6	5	6	2	-3	-9	5	11	3	-10	-12	-6	0	-10	-	-3	2	8	6	6	-10

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Quadratic twists for elliptic curve 938d1

-4	8	-3	5	-7	-11	-67
7504p1	30016t1	8442b1	23450a1	6566n1	113498d1	62846b1

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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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