Atkin-Lehner |
2- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119600bd |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
50614720000000 = 212 · 57 · 13 · 233 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -2 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-440408,-112640812] |
[a1,a2,a3,a4,a6] |
Generators |
[-11444332:31550:29791] |
Generators of the group modulo torsion |
j |
147608144916049/790855 |
j-invariant |
L |
6.1067312729193 |
L(r)(E,1)/r! |
Ω |
0.18532576959885 |
Real period |
R |
8.2378333678749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7475d1 23920i1 |
Quadratic twists by: -4 5 |