Atkin-Lehner |
2- 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11856v |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-436853005056 = -1 · 28 · 312 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -3 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3957,-99639] |
[a1,a2,a3,a4,a6] |
Generators |
[141:1458:1] |
Generators of the group modulo torsion |
j |
-26772667629568/1706457051 |
j-invariant |
L |
2.8529506491267 |
L(r)(E,1)/r! |
Ω |
0.29986186292703 |
Real period |
R |
1.1892770479706 |
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 |
2964f1 47424dg1 35568ca1 |
Quadratic twists by: -4 8 -3 |