Atkin-Lehner |
2- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
48544d |
Isogeny class |
Conductor |
48544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
3592256 = 26 · 372 · 41 |
Discriminant |
Eigenvalues |
2- -2 2 2 2 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42,40] |
[a1,a2,a3,a4,a6] |
j |
131096512/56129 |
j-invariant |
L |
2.2527139990361 |
L(r)(E,1)/r! |
Ω |
2.252713998436 |
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 |
48544b1 97088f2 |
Quadratic twists by: -4 8 |