Atkin-Lehner |
2+ 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
61854l |
Isogeny class |
Conductor |
61854 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
1490398759878912 = 28 · 32 · 139 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 0 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36846,-1993184] |
[a1,a2,a3,a4,a6] |
j |
521660125/140544 |
j-invariant |
L |
2.8122907688112 |
L(r)(E,1)/r! |
Ω |
0.35153634585669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61854s1 |
Quadratic twists by: 13 |