Atkin-Lehner |
3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83391o |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
574560 |
Modular degree for the optimal curve |
Δ |
1424122711676973 = 32 · 7 · 113 · 198 |
Discriminant |
Eigenvalues |
0 3- 2 7+ 11- -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-406967,99775904] |
[a1,a2,a3,a4,a6] |
Generators |
[352:511:1] |
Generators of the group modulo torsion |
j |
438908059648/83853 |
j-invariant |
L |
7.4205187048037 |
L(r)(E,1)/r! |
Ω |
0.46541646274163 |
Real period |
R |
2.6573041933304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83391d1 |
Quadratic twists by: -19 |