Atkin-Lehner |
2- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113230m |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
142100291598200000 = 26 · 55 · 139 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 2 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6167518,5896919981] |
[a1,a2,a3,a4,a6] |
j |
5375202242262578361/29439800000 |
j-invariant |
L |
3.4805334842345 |
L(r)(E,1)/r! |
Ω |
0.29004449418929 |
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 |
8710f1 |
Quadratic twists by: 13 |