Atkin-Lehner |
3- 5- 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
54855g |
Isogeny class |
Conductor |
54855 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
233856 |
Modular degree for the optimal curve |
Δ |
-21529903183875 = -1 · 37 · 53 · 232 · 533 |
Discriminant |
Eigenvalues |
2 3- 5- -2 2 6 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1293,222525] |
[a1,a2,a3,a4,a6] |
j |
327938011136/29533474875 |
j-invariant |
L |
6.2478501587446 |
L(r)(E,1)/r! |
Ω |
0.52065417996558 |
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 |
18285c1 |
Quadratic twists by: -3 |