Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
31584bb |
Isogeny class |
Conductor |
31584 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-584998848 = -1 · 26 · 34 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-278,2040] |
[a1,a2,a3,a4,a6] |
Generators |
[1:42:1] |
Generators of the group modulo torsion |
j |
-37259704000/9140607 |
j-invariant |
L |
7.4483001637384 |
L(r)(E,1)/r! |
Ω |
1.5559386894207 |
Real period |
R |
0.59837673990478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31584o1 63168cs1 94752o1 |
Quadratic twists by: -4 8 -3 |