Atkin-Lehner |
2- 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
32136h |
Isogeny class |
Conductor |
32136 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
376800 |
Modular degree for the optimal curve |
Δ |
-201913176679778304 = -1 · 211 · 35 · 135 · 1033 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 6 13- -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-174816,-35538912] |
[a1,a2,a3,a4,a6] |
j |
-288495989758581698/98590418300673 |
j-invariant |
L |
2.8689946900925 |
L(r)(E,1)/r! |
Ω |
0.11475978760398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64272d1 96408g1 |
Quadratic twists by: -4 -3 |