Atkin-Lehner |
2- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
59536g |
Isogeny class |
Conductor |
59536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
476160 |
Modular degree for the optimal curve |
Δ |
-12872674656342016 = -1 · 212 · 617 |
Discriminant |
Eigenvalues |
2- 2 -3 1 -5 1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120312,-16924624] |
[a1,a2,a3,a4,a6] |
j |
-912673/61 |
j-invariant |
L |
0.51071630631187 |
L(r)(E,1)/r! |
Ω |
0.12767907810434 |
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 |
3721a1 976b1 |
Quadratic twists by: -4 61 |