Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864bn |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-38030266998665216 = -1 · 212 · 113 · 178 |
Discriminant |
Eigenvalues |
2- 1 -3 2 11- 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,49323,-8365501] |
[a1,a2,a3,a4,a6] |
Generators |
[56030:1274779:125] |
Generators of the group modulo torsion |
j |
134217728/384659 |
j-invariant |
L |
5.8232919215667 |
L(r)(E,1)/r! |
Ω |
0.18716336075958 |
Real period |
R |
5.1855697058071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179a1 2992f1 |
Quadratic twists by: -4 17 |