Atkin-Lehner |
3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
13275d |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
56703955078125 = 39 · 511 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 1 1 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-51300,4457531] |
[a1,a2,a3,a4,a6] |
j |
48547233792/184375 |
j-invariant |
L |
2.5205945772691 |
L(r)(E,1)/r! |
Ω |
0.63014864431728 |
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 |
13275a1 2655d1 |
Quadratic twists by: -3 5 |