Atkin-Lehner |
2+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200k |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
130411250000 = 24 · 57 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 4 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11883,502262] |
[a1,a2,a3,a4,a6] |
j |
742332614656/521645 |
j-invariant |
L |
4.1244497141528 |
L(r)(E,1)/r! |
Ω |
1.031111856411 |
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 |
64600l1 25840f1 |
Quadratic twists by: -4 5 |