Atkin-Lehner |
2+ 5+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119990c |
Isogeny class |
Conductor |
119990 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
40556620000 = 25 · 54 · 134 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 0 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1975,-31875] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:34:1] [-25:50:1] |
Generators of the group modulo torsion |
j |
29838383289/1420000 |
j-invariant |
L |
7.0669888812086 |
L(r)(E,1)/r! |
Ω |
0.71825175212718 |
Real period |
R |
1.6398588330514 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119990p1 |
Quadratic twists by: 13 |