Atkin-Lehner |
2+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
24400i |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-4762880000 = -1 · 211 · 54 · 612 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 3 6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,392,1588] |
[a1,a2,a3,a4,a6] |
j |
5191150/3721 |
j-invariant |
L |
3.4835800017193 |
L(r)(E,1)/r! |
Ω |
0.87089500042986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12200d1 97600cp1 24400d1 |
Quadratic twists by: -4 8 5 |