Atkin-Lehner |
2+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82654g |
Isogeny class |
Conductor |
82654 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5640192 |
Modular degree for the optimal curve |
Δ |
1.108168393241E+21 |
Discriminant |
Eigenvalues |
2+ 2 0 4 11- 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2732645,-677785411] |
[a1,a2,a3,a4,a6] |
Generators |
[-16854:765029:27] |
Generators of the group modulo torsion |
j |
93493211839989625/45910522026512 |
j-invariant |
L |
8.3000513412189 |
L(r)(E,1)/r! |
Ω |
0.12343929191068 |
Real period |
R |
2.8016644228139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4862c1 |
Quadratic twists by: 17 |