Atkin-Lehner |
2- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
117670p |
Isogeny class |
Conductor |
117670 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
13114752 |
Modular degree for the optimal curve |
Δ |
-1.1744826896383E+23 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -1 1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9360333,12260314691] |
[a1,a2,a3,a4,a6] |
Generators |
[-579:81814:1] |
Generators of the group modulo torsion |
j |
6757080399/8750000 |
j-invariant |
L |
10.695488237534 |
L(r)(E,1)/r! |
Ω |
0.070592241160427 |
Real period |
R |
5.4111006648374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117670q1 |
Quadratic twists by: 41 |