Atkin-Lehner |
2- 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400ce |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
33858000 = 24 · 34 · 53 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-363,2772] |
[a1,a2,a3,a4,a6] |
Generators |
[13:9:1] [17:35:1] |
Generators of the group modulo torsion |
j |
2652219392/16929 |
j-invariant |
L |
10.475741526863 |
L(r)(E,1)/r! |
Ω |
2.0817886362192 |
Real period |
R |
2.5160434993456 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125400bp1 |
Quadratic twists by: 5 |