Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25578bx |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2882880 |
Modular degree for the optimal curve |
Δ |
-5.3283171608219E+22 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3397694,11365340109] |
[a1,a2,a3,a4,a6] |
Generators |
[6647:528117:1] |
Generators of the group modulo torsion |
j |
-50577879066661513/621261297432576 |
j-invariant |
L |
6.2352845733177 |
L(r)(E,1)/r! |
Ω |
0.095207214561224 |
Real period |
R |
1.4884482618575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8526e1 522m1 |
Quadratic twists by: -3 -7 |