Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14872j |
Isogeny class |
Conductor |
14872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-13592294144 = -1 · 28 · 11 · 136 |
Discriminant |
Eigenvalues |
2- -3 3 2 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-676,8788] |
[a1,a2,a3,a4,a6] |
Generators |
[52:338:1] |
Generators of the group modulo torsion |
j |
-27648/11 |
j-invariant |
L |
3.8106165231179 |
L(r)(E,1)/r! |
Ω |
1.1794394832455 |
Real period |
R |
0.80771768650481 |
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 |
29744d1 118976r1 88a1 |
Quadratic twists by: -4 8 13 |