Atkin-Lehner |
2- 3+ 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
125904j |
Isogeny class |
Conductor |
125904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-167087702016 = -1 · 218 · 35 · 43 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 -2 5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-146800,21697984] |
[a1,a2,a3,a4,a6] |
j |
-85417113121801201/40792896 |
j-invariant |
L |
1.666266399909 |
L(r)(E,1)/r! |
Ω |
0.83313287134494 |
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 |
15738j1 |
Quadratic twists by: -4 |