Atkin-Lehner |
2+ 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
31150j |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
40083381953125000 = 23 · 510 · 78 · 89 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 0 7 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1204700,-509351000] |
[a1,a2,a3,a4,a6] |
Generators |
[-639:533:1] |
Generators of the group modulo torsion |
j |
19799807278419025/4104538312 |
j-invariant |
L |
3.9056829177692 |
L(r)(E,1)/r! |
Ω |
0.14410703499972 |
Real period |
R |
3.3878315845031 |
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 |
31150bb1 |
Quadratic twists by: 5 |