Atkin-Lehner |
2+ 3- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
50616d |
Isogeny class |
Conductor |
50616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
6886250919936 = 211 · 314 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 3 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-929811,345096142] |
[a1,a2,a3,a4,a6] |
Generators |
[42970:1016172:125] |
Generators of the group modulo torsion |
j |
59545681581839906/4612383 |
j-invariant |
L |
9.0826093935506 |
L(r)(E,1)/r! |
Ω |
0.56967556403701 |
Real period |
R |
7.9717386236263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101232c1 16872d1 |
Quadratic twists by: -4 -3 |