Atkin-Lehner |
2- 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
63602p |
Isogeny class |
Conductor |
63602 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-589996851963904 = -1 · 211 · 79 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 11+ 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18782,615073] |
[a1,a2,a3,a4,a6] |
Generators |
[289:-5633:1] [-11:643:1] |
Generators of the group modulo torsion |
j |
6228488375199/5014890496 |
j-invariant |
L |
13.723523278185 |
L(r)(E,1)/r! |
Ω |
0.33268710312887 |
Real period |
R |
0.46875615764659 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9086f1 |
Quadratic twists by: -7 |