Atkin-Lehner |
2- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
23600bh |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-755200000000 = -1 · 215 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- 1 3 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2208,-57088] |
[a1,a2,a3,a4,a6] |
j |
-744385/472 |
j-invariant |
L |
4.0622517753278 |
L(r)(E,1)/r! |
Ω |
0.33852098127731 |
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 |
2950t1 94400dg1 23600x1 |
Quadratic twists by: -4 8 5 |