Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350es |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-477346867200 = -1 · 211 · 38 · 52 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1570,-23443] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-269:1] |
Generators of the group modulo torsion |
j |
23497109375/26191872 |
j-invariant |
L |
11.677431223205 |
L(r)(E,1)/r! |
Ω |
0.5039080741271 |
Real period |
R |
0.52667575258308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450ba1 91350ck1 |
Quadratic twists by: -3 5 |