Atkin-Lehner |
2- 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
125736t |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
933504 |
Modular degree for the optimal curve |
Δ |
-2019775368579072 = -1 · 211 · 3 · 139 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 -2 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-501648,136940556] |
[a1,a2,a3,a4,a6] |
j |
-642838250/93 |
j-invariant |
L |
0.89928413991141 |
L(r)(E,1)/r! |
Ω |
0.44964174542959 |
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 |
125736i1 |
Quadratic twists by: 13 |