Atkin-Lehner |
5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
15575b |
Isogeny class |
Conductor |
15575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18000 |
Modular degree for the optimal curve |
Δ |
6083984375 = 510 · 7 · 89 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 0 -5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36055,2644072] |
[a1,a2,a3,a4,a6] |
Generators |
[110:-54:1] |
Generators of the group modulo torsion |
j |
530773065225/623 |
j-invariant |
L |
2.3519483185434 |
L(r)(E,1)/r! |
Ω |
1.133879433119 |
Real period |
R |
2.0742490337564 |
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 |
15575g1 109025m1 |
Quadratic twists by: 5 -7 |