Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
6962m |
Isogeny class |
Conductor |
6962 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
198240 |
Modular degree for the optimal curve |
Δ |
1022233506601282802 = 2 · 5910 |
Discriminant |
Eigenvalues |
2- 2 -4 3 -4 0 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-252445,-4242479] |
[a1,a2,a3,a4,a6] |
Generators |
[-996650753385349390:15132447034472808571:2516676933482648] |
Generators of the group modulo torsion |
j |
3481/2 |
j-invariant |
L |
6.9727804024482 |
L(r)(E,1)/r! |
Ω |
0.23144909777852 |
Real period |
R |
30.12662598115 |
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 |
55696bb1 62658m1 6962f1 |
Quadratic twists by: -4 -3 -59 |