Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13984g |
Isogeny class |
Conductor |
13984 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
17521613090712064 = 29 · 19 · 239 |
Discriminant |
Eigenvalues |
2- -3 -3 2 -1 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67099,-2048414] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:2116:1] |
Generators of the group modulo torsion |
j |
65253212057800584/34221900567797 |
j-invariant |
L |
2.2476539930802 |
L(r)(E,1)/r! |
Ω |
0.31443472278984 |
Real period |
R |
0.79424858154544 |
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 |
13984i1 27968cd1 125856f1 |
Quadratic twists by: -4 8 -3 |