Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712cl |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
6861361250304 = 224 · 37 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5196,70000] |
[a1,a2,a3,a4,a6] |
j |
81182737/35904 |
j-invariant |
L |
2.6907904059233 |
L(r)(E,1)/r! |
Ω |
0.67269764582275 |
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 |
107712dx1 3366f1 35904z1 |
Quadratic twists by: -4 8 -3 |