Atkin-Lehner |
2+ 3- 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258l |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1024320 |
Modular degree for the optimal curve |
Δ |
1.6698254206718E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11+ -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1797099,906037438] |
[a1,a2,a3,a4,a6] |
Generators |
[536:9573:1] |
Generators of the group modulo torsion |
j |
641858611516007889400489/16698254206718250936 |
j-invariant |
L |
4.0844424471082 |
L(r)(E,1)/r! |
Ω |
0.21902243579716 |
Real period |
R |
0.84765962077279 |
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 |
81774bv1 |
Quadratic twists by: -3 |