Atkin-Lehner |
2+ 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712g |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
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 |
1.7222876810288 |
L(r)(E,1)/r! |
Ω |
0.43057201930412 |
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 |
107712dc1 1683d1 107712m1 |
Quadratic twists by: -4 8 -3 |