Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712dc |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1984755950419968 = 218 · 39 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38124,-1901232] |
[a1,a2,a3,a4,a6] |
j |
1187648379/384659 |
j-invariant |
L |
4.2055122757113 |
L(r)(E,1)/r! |
Ω |
0.35045938481028 |
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 |
107712g1 26928y1 107712cu1 |
Quadratic twists by: -4 8 -3 |