Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
49588s |
Isogeny class |
Conductor |
49588 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
316248312599296 = 28 · 79 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 11- -3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32356,2059588] |
[a1,a2,a3,a4,a6] |
Generators |
[408:7546:1] |
Generators of the group modulo torsion |
j |
362642992/30613 |
j-invariant |
L |
5.8836268889517 |
L(r)(E,1)/r! |
Ω |
0.53046852999801 |
Real period |
R |
0.61618765678787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49588t1 |
Quadratic twists by: -7 |