Atkin-Lehner |
2- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25520t |
Isogeny class |
Conductor |
25520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-522649600 = -1 · 216 · 52 · 11 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11- 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-1100] |
[a1,a2,a3,a4,a6] |
Generators |
[15:50:1] |
Generators of the group modulo torsion |
j |
-1/127600 |
j-invariant |
L |
3.4975685761973 |
L(r)(E,1)/r! |
Ω |
0.75566944018238 |
Real period |
R |
2.3142186187609 |
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 |
3190e1 102080z1 127600be1 |
Quadratic twists by: -4 8 5 |