Atkin-Lehner |
2- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25520s |
Isogeny class |
Conductor |
25520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-209059840000 = -1 · 220 · 54 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2027,-41446] |
[a1,a2,a3,a4,a6] |
Generators |
[58:190:1] |
Generators of the group modulo torsion |
j |
-224866629441/51040000 |
j-invariant |
L |
4.5491742125638 |
L(r)(E,1)/r! |
Ω |
0.35151562678251 |
Real period |
R |
3.2353996991565 |
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 |
3190d1 102080x1 127600bb1 |
Quadratic twists by: -4 8 5 |