Atkin-Lehner |
3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925k |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
129682265625 = 38 · 57 · 11 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-53442,4768591] |
[a1,a2,a3,a4,a6] |
j |
1481933914201/11385 |
j-invariant |
L |
1.8674798349802 |
L(r)(E,1)/r! |
Ω |
0.9337399181764 |
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 |
18975f1 11385f1 |
Quadratic twists by: -3 5 |