Atkin-Lehner |
5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
96715a |
Isogeny class |
Conductor |
96715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5510400 |
Modular degree for the optimal curve |
Δ |
-3874483936591796875 = -1 · 510 · 23 · 297 |
Discriminant |
Eigenvalues |
0 -2 5+ -2 0 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-82435941,288059108901] |
[a1,a2,a3,a4,a6] |
Generators |
[335428:9343:64] |
Generators of the group modulo torsion |
j |
-104156296498930253824/6513671875 |
j-invariant |
L |
2.9519566674846 |
L(r)(E,1)/r! |
Ω |
0.18735733503936 |
Real period |
R |
3.9389393085093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999342414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3335a1 |
Quadratic twists by: 29 |