Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712eb |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-515183156928 = -1 · 26 · 316 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 3 11+ -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-134256,-18934306] |
[a1,a2,a3,a4,a6] |
j |
-5736108018368512/11042163 |
j-invariant |
L |
2.2447012293975 |
L(r)(E,1)/r! |
Ω |
0.12470563637404 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712co1 26928bx1 35904bz1 |
Quadratic twists by: -4 8 -3 |