Atkin-Lehner |
2- 3- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108528bp |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
1013118430464 = 28 · 36 · 75 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26677,1667519] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-882:1] |
Generators of the group modulo torsion |
j |
8201834332684288/3957493869 |
j-invariant |
L |
7.1941670431883 |
L(r)(E,1)/r! |
Ω |
0.86472395306396 |
Real period |
R |
0.13866018569453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27132c1 |
Quadratic twists by: -4 |