Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35136cl |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-2378940425000976384 = -1 · 225 · 319 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -2 -4 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4087308,-3181429744] |
[a1,a2,a3,a4,a6] |
j |
-39515579724486529/12448473984 |
j-invariant |
L |
0.21235476071878 |
L(r)(E,1)/r! |
Ω |
0.053088690183182 |
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 |
35136w1 8784o1 11712z1 |
Quadratic twists by: -4 8 -3 |