Atkin-Lehner |
3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
61893j |
Isogeny class |
Conductor |
61893 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-3775301099062623 = -1 · 38 · 132 · 237 |
Discriminant |
Eigenvalues |
1 3- -4 -2 2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99,-2956176] |
[a1,a2,a3,a4,a6] |
j |
-1/34983 |
j-invariant |
L |
0.81050362859463 |
L(r)(E,1)/r! |
Ω |
0.20262590819093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20631i1 2691f1 |
Quadratic twists by: -3 -23 |