Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432m |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
3399542784 = 211 · 38 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 11- -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,-3382] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:18:1] |
Generators of the group modulo torsion |
j |
9653618/2277 |
j-invariant |
L |
5.1026794651391 |
L(r)(E,1)/r! |
Ω |
1.0232829151048 |
Real period |
R |
1.2466443516787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18216h1 12144a1 |
Quadratic twists by: -4 -3 |