Atkin-Lehner |
2- 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55100o |
Isogeny class |
Conductor |
55100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
607202000 = 24 · 53 · 192 · 292 |
Discriminant |
Eigenvalues |
2- -2 5- 0 4 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-553,-5052] |
[a1,a2,a3,a4,a6] |
j |
9368158208/303601 |
j-invariant |
L |
1.9726279896348 |
L(r)(E,1)/r! |
Ω |
0.98631399418798 |
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 |
55100n1 |
Quadratic twists by: 5 |