Atkin-Lehner |
3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25155l |
Isogeny class |
Conductor |
25155 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
314288879150390625 = 311 · 512 · 132 · 43 |
Discriminant |
Eigenvalues |
1 3- 5- 2 -2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-611334,-181837337] |
[a1,a2,a3,a4,a6] |
Generators |
[-3314:5167:8] |
Generators of the group modulo torsion |
j |
34660293348948298849/431123291015625 |
j-invariant |
L |
6.7476076138026 |
L(r)(E,1)/r! |
Ω |
0.17086636708751 |
Real period |
R |
3.29087955733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8385a1 125775ba1 |
Quadratic twists by: -3 5 |