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	6798f	Isogeny class
Conductor	6798	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3744	Modular degree for the optimal curve
Δ	-21536064 = -1 · 26 · 33 · 112 · 103	Discriminant
Eigenvalues	2+ 3+  3 -4 11- -5  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-181,-1043]	[a1,a2,a3,a4,a6]
Generators	[18:35:1]	Generators of the group modulo torsion
j	-661459323097/21536064	j-invariant
L	2.6708395040577	L(r)(E,1)/r!
Ω	0.64909237289458	Real period
R	1.0286823630924	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	54384s1 20394w1 74778be1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 6798f1

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	-4	-	-5	2	0	3	-4	9	-12	8	-11	6	6	13	7	-3	12	-14	-10	11	-6	-3

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Quadratic twists for elliptic curve 6798f1

-4	-3	-11
54384s1	20394w1	74778be1

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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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