Atkin-Lehner |
2- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800bd |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
6451429376000000 = 222 · 56 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 6 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-824608,-287916288] |
[a1,a2,a3,a4,a6] |
j |
968917714969177/100803584 |
j-invariant |
L |
5.0697942566625 |
L(r)(E,1)/r! |
Ω |
0.15843106294343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14350s1 4592k1 |
Quadratic twists by: -4 5 |