Atkin-Lehner |
3- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
39195v |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-4208388948362941875 = -1 · 36 · 54 · 1310 · 67 |
Discriminant |
Eigenvalues |
2 3- 5- 0 -2 13+ 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2892447,1895987567] |
[a1,a2,a3,a4,a6] |
j |
-3671067867220377391104/5772824346176875 |
j-invariant |
L |
3.9392982561654 |
L(r)(E,1)/r! |
Ω |
0.24620614101051 |
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 |
4355b1 |
Quadratic twists by: -3 |