Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136i |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-419662135296 = -1 · 220 · 38 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 -1 5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-118092,15619952] |
[a1,a2,a3,a4,a6] |
j |
-953054410321/2196 |
j-invariant |
L |
3.2608254247099 |
L(r)(E,1)/r! |
Ω |
0.81520635617524 |
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 |
35136bp1 1098d1 11712a1 |
Quadratic twists by: -4 8 -3 |