Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256w |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
2417628037968 = 24 · 38 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3630,-38599] |
[a1,a2,a3,a4,a6] |
j |
256000/117 |
j-invariant |
L |
2.5692999639125 |
L(r)(E,1)/r! |
Ω |
0.64232484241678 |
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 |
37752s1 936h1 |
Quadratic twists by: -3 -11 |