Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712ed |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
116643141255168 = 224 · 37 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 4 2 11+ 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112908,-14593520] |
[a1,a2,a3,a4,a6] |
j |
832972004929/610368 |
j-invariant |
L |
4.1673256030859 |
L(r)(E,1)/r! |
Ω |
0.2604578665685 |
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 |
107712cr1 26928ca1 35904cy1 |
Quadratic twists by: -4 8 -3 |