Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050br |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
54432000 |
Modular degree for the optimal curve |
Δ |
-3.4813393380183E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-172880325,-1253604637875] |
[a1,a2,a3,a4,a6] |
Generators |
[928629879599426002655:219671443722933622556935:15618813316714063] |
Generators of the group modulo torsion |
j |
-825741822267180625/503072076283392 |
j-invariant |
L |
3.8204723837808 |
L(r)(E,1)/r! |
Ω |
0.02025530487901 |
Real period |
R |
31.435981887226 |
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 |
127050ht1 11550bz1 |
Quadratic twists by: 5 -11 |