Atkin-Lehner |
2- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29900f |
Isogeny class |
Conductor |
29900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
949248 |
Modular degree for the optimal curve |
Δ |
355266894531250000 = 24 · 514 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42313300,105940847625] |
[a1,a2,a3,a4,a6] |
j |
33513083981967002812416/1421067578125 |
j-invariant |
L |
1.3500660555953 |
L(r)(E,1)/r! |
Ω |
0.22501100926597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119600ba1 5980c1 |
Quadratic twists by: -4 5 |