Atkin-Lehner |
2+ 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
30544d |
Isogeny class |
Conductor |
30544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-3909632 = -1 · 211 · 23 · 83 |
Discriminant |
Eigenvalues |
2+ -1 0 0 -2 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,-304] |
[a1,a2,a3,a4,a6] |
j |
-37219250/1909 |
j-invariant |
L |
1.5526489534938 |
L(r)(E,1)/r! |
Ω |
0.77632447674664 |
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 |
15272d1 122176z1 |
Quadratic twists by: -4 8 |