Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432bm |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
281971676676096 = 221 · 312 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11+ -7 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18291,503858] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:1062:1] |
Generators of the group modulo torsion |
j |
226646274673/94431744 |
j-invariant |
L |
6.968059713456 |
L(r)(E,1)/r! |
Ω |
0.49655076892268 |
Real period |
R |
3.5082312572862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4554p1 12144z1 |
Quadratic twists by: -4 -3 |