Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
60600bd |
Isogeny class |
Conductor |
60600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
10536115601250000 = 24 · 34 · 57 · 1014 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88383,-8855262] |
[a1,a2,a3,a4,a6] |
j |
305418144004096/42144462405 |
j-invariant |
L |
2.2354023783286 |
L(r)(E,1)/r! |
Ω |
0.27942529834228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121200i1 12120e1 |
Quadratic twists by: -4 5 |