Atkin-Lehner |
5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
31205a |
Isogeny class |
Conductor |
31205 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
554580 |
Modular degree for the optimal curve |
Δ |
189638601238320125 = 53 · 798 |
Discriminant |
Eigenvalues |
2 2 5+ 2 4 0 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-164346,-14731823] |
[a1,a2,a3,a4,a6] |
Generators |
[-121467911126207735298622633769425400966274:-1775378626243171117823686707551739036373469:540053592838834296732095644373976837912] |
Generators of the group modulo torsion |
j |
323584/125 |
j-invariant |
L |
16.042545427128 |
L(r)(E,1)/r! |
Ω |
0.24501225630041 |
Real period |
R |
65.476501744704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31205b1 |
Quadratic twists by: -79 |