Atkin-Lehner |
2- 7- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
89474n |
Isogeny class |
Conductor |
89474 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1082368 |
Modular degree for the optimal curve |
Δ |
-8611204053346048 = -1 · 28 · 79 · 112 · 832 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,29105,-4032519] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1753:1] |
Generators of the group modulo torsion |
j |
67568337017/213393664 |
j-invariant |
L |
4.0342451749259 |
L(r)(E,1)/r! |
Ω |
0.21101611629826 |
Real period |
R |
1.19488656579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89474k1 |
Quadratic twists by: -7 |