Atkin-Lehner |
2- 3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810eh |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
100638720 |
Modular degree for the optimal curve |
Δ |
1.3054636970398E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-958634087,-10014462059889] |
[a1,a2,a3,a4,a6] |
Generators |
[-12519:162834:1] |
Generators of the group modulo torsion |
j |
133645637191516138881148091689/17907595295471191406250000 |
j-invariant |
L |
13.059986819894 |
L(r)(E,1)/r! |
Ω |
0.027372764114626 |
Real period |
R |
6.6266126758944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009682 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270j1 |
Quadratic twists by: -3 |