Atkin-Lehner |
3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13275x |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-36744162890625 = -1 · 313 · 58 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -2 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27680,-1789428] |
[a1,a2,a3,a4,a6] |
Generators |
[194:240:1] |
Generators of the group modulo torsion |
j |
-8236063705/129033 |
j-invariant |
L |
2.6909590390343 |
L(r)(E,1)/r! |
Ω |
0.18489493384181 |
Real period |
R |
2.4256650187944 |
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 |
4425d1 13275m1 |
Quadratic twists by: -3 5 |