Atkin-Lehner |
3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13275t |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-16129125 = -1 · 37 · 53 · 59 |
Discriminant |
Eigenvalues |
1 3- 5- -1 -2 3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27,-194] |
[a1,a2,a3,a4,a6] |
Generators |
[14:38:1] |
Generators of the group modulo torsion |
j |
-24389/177 |
j-invariant |
L |
5.2480313764354 |
L(r)(E,1)/r! |
Ω |
0.92588554127931 |
Real period |
R |
0.70851513800293 |
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 |
4425f1 13275y1 |
Quadratic twists by: -3 5 |