Cremona's table of elliptic curves

1078 = 2 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 7+ 11+	Signs for the Atkin-Lehner involutions
Class	1078h	Isogeny class
Conductor	1078	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	1008	Modular degree for the optimal curve
Δ	507302488 = 23 · 78 · 11	Discriminant
Eigenvalues	2-  3  2 7+ 11+ -7  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-279,1495]	[a1,a2,a3,a4,a6]
j	415233/88	j-invariant
L	4.6856528292593	L(r)(E,1)/r!
Ω	1.5618842764198	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	8624p1 34496k1 9702n1 26950e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1078h1

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	2	+	+	-7	2	0	-8	-5	4	4	4	-8	2	-6	3	1	9	-2	4	9	6	6	7

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Quadratic twists for elliptic curve 1078h1

-4	8	-3	5	-7	-11
8624p1	34496k1	9702n1	26950e1	1078k1	11858f1

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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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