Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25578bo |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
655360 |
Modular degree for the optimal curve |
Δ |
-938811907687514112 = -1 · 216 · 310 · 73 · 294 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4521110,3701542821] |
[a1,a2,a3,a4,a6] |
Generators |
[1199:-2427:1] |
Generators of the group modulo torsion |
j |
-40873063949207311375/3754541776896 |
j-invariant |
L |
8.8439988021039 |
L(r)(E,1)/r! |
Ω |
0.26699535940472 |
Real period |
R |
0.51756510521744 |
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 |
8526c1 25578bp1 |
Quadratic twists by: -3 -7 |