Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432ci |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
182819856384 = 213 · 36 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 11- -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1659,15914] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:88:1] [-17:198:1] |
Generators of the group modulo torsion |
j |
169112377/61226 |
j-invariant |
L |
6.6230525529451 |
L(r)(E,1)/r! |
Ω |
0.926547589889 |
Real period |
R |
0.29783739772329 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4554be1 4048g1 |
Quadratic twists by: -4 -3 |