Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350b |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
4196390625000000 = 26 · 33 · 512 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40542,-387884] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:1538:1] |
Generators of the group modulo torsion |
j |
17468734953123/9947000000 |
j-invariant |
L |
3.2465328903382 |
L(r)(E,1)/r! |
Ω |
0.3637730737585 |
Real period |
R |
2.2311525566499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350dc3 18270bi1 |
Quadratic twists by: -3 5 |