Atkin-Lehner |
2+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6962b |
Isogeny class |
Conductor |
6962 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63720 |
Modular degree for the optimal curve |
Δ |
-69303966549239512 = -1 · 23 · 599 |
Discriminant |
Eigenvalues |
2+ 2 0 1 -3 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-149755,25588821] |
[a1,a2,a3,a4,a6] |
Generators |
[7205301:84402251:19683] |
Generators of the group modulo torsion |
j |
-42875/8 |
j-invariant |
L |
4.3361607229848 |
L(r)(E,1)/r! |
Ω |
0.33311018803664 |
Real period |
R |
6.5085981736887 |
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 |
55696n1 62658p1 6962i1 |
Quadratic twists by: -4 -3 -59 |