Cremona's table of elliptic curves

6840 = 2³ · 3² · 5 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 19+	Signs for the Atkin-Lehner involutions
Conductor	6840	Conductor
Count	6	Number of curves in isogeny class
Curves	6840e1 6840e2 6840e3 6840e4 6840e5 6840e6	Curves in isogeny class
deg	8192	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  0 -4 -2 -2 19+	Hecke eigenvalues for primes less than 20
L	1.0533405271748	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	13680m 54720cb 2280i 34200ci	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 6840e

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
+	-	+	0	-4	-2	-2	+	0	-6	0	6	6	4	-8	-6	12	-2	4	-8	-6	16	4	6	10

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Quadratic twists for isogeny class 6840e

-4	8	-3	5	-19
13680m	54720cb	2280i	34200ci	129960ch

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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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