Atkin-Lehner |
2- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29602c |
Isogeny class |
Conductor |
29602 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
232560 |
Modular degree for the optimal curve |
Δ |
-177919670549011672 = -1 · 23 · 199 · 413 |
Discriminant |
Eigenvalues |
2- 0 2 0 1 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-171904,34166715] |
[a1,a2,a3,a4,a6] |
Generators |
[8935:839189:1] |
Generators of the group modulo torsion |
j |
-1740992427/551368 |
j-invariant |
L |
9.5792228199447 |
L(r)(E,1)/r! |
Ω |
0.30319157755424 |
Real period |
R |
1.7552566923047 |
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 |
29602a1 |
Quadratic twists by: -19 |