Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432ba |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-10443395432448 = -1 · 221 · 39 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 11- -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-107595,-13585158] |
[a1,a2,a3,a4,a6] |
Generators |
[188145:7108992:125] |
Generators of the group modulo torsion |
j |
-1708632808875/129536 |
j-invariant |
L |
6.3899888458216 |
L(r)(E,1)/r! |
Ω |
0.13180125971715 |
Real period |
R |
6.0602501633284 |
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 |
4554t1 36432u1 |
Quadratic twists by: -4 -3 |