Atkin-Lehner |
2+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23998c |
Isogeny class |
Conductor |
23998 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
84240 |
Modular degree for the optimal curve |
Δ |
175464160768 = 29 · 136 · 71 |
Discriminant |
Eigenvalues |
2+ -3 4 3 0 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1975,27613] |
[a1,a2,a3,a4,a6] |
Generators |
[9:98:1] |
Generators of the group modulo torsion |
j |
176558481/36352 |
j-invariant |
L |
3.5498634226718 |
L(r)(E,1)/r! |
Ω |
0.96083298505855 |
Real period |
R |
3.6945686481148 |
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 |
142a1 |
Quadratic twists by: 13 |