Atkin-Lehner |
2+ 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33550h |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
83520 |
Modular degree for the optimal curve |
Δ |
-3197734375000 = -1 · 23 · 510 · 11 · 612 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11- 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4700,149000] |
[a1,a2,a3,a4,a6] |
Generators |
[417:7447:27] |
Generators of the group modulo torsion |
j |
-1176147025/327448 |
j-invariant |
L |
6.6075533402981 |
L(r)(E,1)/r! |
Ω |
0.75661984703839 |
Real period |
R |
4.3664948561434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33550ba1 |
Quadratic twists by: 5 |