Atkin-Lehner |
3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
13275bb |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-2528645104141875 = -1 · 319 · 54 · 592 |
Discriminant |
Eigenvalues |
2 3- 5- 1 0 -1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10875,2458431] |
[a1,a2,a3,a4,a6] |
j |
-312179200000/5549838363 |
j-invariant |
L |
4.6235794281662 |
L(r)(E,1)/r! |
Ω |
0.38529828568052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4425l1 13275r1 |
Quadratic twists by: -3 5 |