Atkin-Lehner |
2- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18352n |
Isogeny class |
Conductor |
18352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-679024 = -1 · 24 · 31 · 372 |
Discriminant |
Eigenvalues |
2- 2 3 5 0 6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13834,-621693] |
[a1,a2,a3,a4,a6] |
j |
-18301152350854912/42439 |
j-invariant |
L |
7.0433614881248 |
L(r)(E,1)/r! |
Ω |
0.2201050465039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4588e1 73408bh1 |
Quadratic twists by: -4 8 |