Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520h |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
80318101760 = 28 · 5 · 137 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3887,-92274] |
[a1,a2,a3,a4,a6] |
j |
5256144/65 |
j-invariant |
L |
1.2101820568335 |
L(r)(E,1)/r! |
Ω |
0.60509102841673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6760i1 54080bx1 121680m1 67600a1 |
Quadratic twists by: -4 8 -3 5 |