Atkin-Lehner |
2- 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
107120r |
Isogeny class |
Conductor |
107120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
89858768896000 = 229 · 53 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 1 5- 0 1 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11200,8500] |
[a1,a2,a3,a4,a6] |
j |
37936442980801/21938176000 |
j-invariant |
L |
3.0695243821066 |
L(r)(E,1)/r! |
Ω |
0.51158741139106 |
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 |
13390i1 |
Quadratic twists by: -4 |