Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36456n |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-525185136 = -1 · 24 · 32 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 0 6 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,180,657] |
[a1,a2,a3,a4,a6] |
j |
340736/279 |
j-invariant |
L |
4.257366538071 |
L(r)(E,1)/r! |
Ω |
1.0643416345217 |
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 |
72912d1 109368bx1 744a1 |
Quadratic twists by: -4 -3 -7 |