Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77400bm |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
3046928400000000 = 210 · 311 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-786675,268546750] |
[a1,a2,a3,a4,a6] |
j |
4615962240676/261225 |
j-invariant |
L |
3.4060419710217 |
L(r)(E,1)/r! |
Ω |
0.42575524846879 |
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 |
25800p1 15480e1 |
Quadratic twists by: -3 5 |