Cremona's table of elliptic curves

6798 = 2 · 3 · 11 · 103

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11+ 103-	Signs for the Atkin-Lehner involutions
Class	6798c	Isogeny class
Conductor	6798	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	5040	Modular degree for the optimal curve
Δ	118448352 = 25 · 33 · 113 · 103	Discriminant
Eigenvalues	2+ 3+ -2  3 11+ -5  5  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-381,-2979]	[a1,a2,a3,a4,a6]
j	6141556990297/118448352	j-invariant
L	1.0815056647203	L(r)(E,1)/r!
Ω	1.0815056647203	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	54384w1 20394ba1 74778bc1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 6798c1

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	3	+	-5	5	8	9	6	-7	-10	5	8	10	-12	0	7	-2	6	1	-12	5	-13	-7

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Quadratic twists for elliptic curve 6798c1

-4	-3	-11
54384w1	20394ba1	74778bc1

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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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