Cremona's table of elliptic curves

5278 = 2 · 7 · 13 · 29

Field	Data	Notes
Atkin-Lehner	2+ 7- 13+ 29+	Signs for the Atkin-Lehner involutions
Class	5278b	Isogeny class
Conductor	5278	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	6072	Modular degree for the optimal curve
Δ	-913389568 = -1 · 211 · 7 · 133 · 29	Discriminant
Eigenvalues	2+  2 -4 7-  4 13+  5 -1	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1092,13520]	[a1,a2,a3,a4,a6]
j	-144215816802121/913389568	j-invariant
L	1.5819760509766	L(r)(E,1)/r!
Ω	1.5819760509766	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	42224h1 47502bm1 36946k1 68614o1	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 5278b1

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
+	2	-4	-	4	+	5	-1	3	+	4	-10	2	1	-6	6	-10	4	-13	8	12	-6	6	16	-2

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Quadratic twists for elliptic curve 5278b1

-4	-3	-7	13
42224h1	47502bm1	36946k1	68614o1

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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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