Atkin-Lehner |
2- 3- 7- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814bj |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
124320 |
Modular degree for the optimal curve |
Δ |
-23852320128 = -1 · 27 · 36 · 7 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 3 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-977,14145] |
[a1,a2,a3,a4,a6] |
Generators |
[3:104:1] |
Generators of the group modulo torsion |
j |
-141339344329/32719232 |
j-invariant |
L |
8.3816850254317 |
L(r)(E,1)/r! |
Ω |
1.144280673443 |
Real period |
R |
0.52320361731398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9646c1 |
Quadratic twists by: -3 |