Atkin-Lehner |
2+ 3+ 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810i |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
3.335852165184E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5070399,4307032205] |
[a1,a2,a3,a4,a6] |
Generators |
[781:-29078:1] |
Generators of the group modulo torsion |
j |
732417776327284737507/16947884800000000 |
j-invariant |
L |
5.965192828145 |
L(r)(E,1)/r! |
Ω |
0.17087764425019 |
Real period |
R |
0.72727389419708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810ch1 |
Quadratic twists by: -3 |