Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600ce |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-262616750720000000 = -1 · 213 · 57 · 177 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 -4 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1177675,492528250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1190:14450:1] [255:14450:1] |
Generators of the group modulo torsion |
j |
-116930169/170 |
j-invariant |
L |
6.688679859941 |
L(r)(E,1)/r! |
Ω |
0.31002827832214 |
Real period |
R |
0.67420058184951 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14450z1 23120bm1 6800o1 |
Quadratic twists by: -4 5 17 |