Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bm |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-5016616602624 = -1 · 210 · 39 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4056,-41560] |
[a1,a2,a3,a4,a6] |
Generators |
[1836230:11221616:166375] |
Generators of the group modulo torsion |
j |
9885304832/6720219 |
j-invariant |
L |
10.029612979074 |
L(r)(E,1)/r! |
Ω |
0.43529561303251 |
Real period |
R |
11.520461829205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712fa1 13464v1 35904s1 |
Quadratic twists by: -4 8 -3 |