Atkin-Lehner |
2- 3- 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810dz |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
175889387520 = 212 · 38 · 5 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11237,460829] |
[a1,a2,a3,a4,a6] |
Generators |
[79:208:1] |
Generators of the group modulo torsion |
j |
215234107022089/241274880 |
j-invariant |
L |
12.491782763642 |
L(r)(E,1)/r! |
Ω |
1.0111711299236 |
Real period |
R |
2.0589628591455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999672778 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270y1 |
Quadratic twists by: -3 |