Atkin-Lehner |
2- 3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61854m |
Isogeny class |
Conductor |
61854 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
137088 |
Modular degree for the optimal curve |
Δ |
-2687016994974 = -1 · 2 · 33 · 138 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 4 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1771,-72727] |
[a1,a2,a3,a4,a6] |
j |
127263527/556686 |
j-invariant |
L |
7.356225981869 |
L(r)(E,1)/r! |
Ω |
0.40867922117214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4758a1 |
Quadratic twists by: 13 |