Atkin-Lehner |
3- 5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119925o |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
22319849394984375 = 313 · 56 · 13 · 413 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 -1 13+ -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71667,-1675134] |
[a1,a2,a3,a4,a6] |
j |
3573857582569/1959492951 |
j-invariant |
L |
0.62366535498841 |
L(r)(E,1)/r! |
Ω |
0.31183230215976 |
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 |
39975r1 4797c1 |
Quadratic twists by: -3 5 |