Atkin-Lehner |
2- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122200r |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25248 |
Modular degree for the optimal curve |
Δ |
-31283200 = -1 · 211 · 52 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -4 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155,790] |
[a1,a2,a3,a4,a6] |
j |
-8043570/611 |
j-invariant |
L |
2.0453171238632 |
L(r)(E,1)/r! |
Ω |
2.0453164451378 |
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 |
122200p1 |
Quadratic twists by: 5 |