Atkin-Lehner |
7- 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
89621g |
Isogeny class |
Conductor |
89621 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13872 |
Modular degree for the optimal curve |
Δ |
89621 = 72 · 31 · 59 |
Discriminant |
Eigenvalues |
0 0 -1 7- 5 -3 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-518,-4538] |
[a1,a2,a3,a4,a6] |
Generators |
[-17512:-521:1331] |
Generators of the group modulo torsion |
j |
313701728256/1829 |
j-invariant |
L |
5.1202849236901 |
L(r)(E,1)/r! |
Ω |
1.0007308004061 |
Real period |
R |
5.1165457476143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89621a1 |
Quadratic twists by: -7 |