Atkin-Lehner |
2- 3- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63984bd |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-22233302620416 = -1 · 28 · 37 · 314 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 -5 -5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6820,69192] |
[a1,a2,a3,a4,a6] |
Generators |
[31:558:1] |
Generators of the group modulo torsion |
j |
137016601001264/86848838361 |
j-invariant |
L |
5.9081144162362 |
L(r)(E,1)/r! |
Ω |
0.42155884011906 |
Real period |
R |
0.50053294162466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15996a1 |
Quadratic twists by: -4 |