Atkin-Lehner |
3- 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11739g |
Isogeny class |
Conductor |
11739 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
8292780114249267 = 32 · 74 · 136 · 433 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-417309,103633830] |
[a1,a2,a3,a4,a6] |
Generators |
[33:9465:1] |
Generators of the group modulo torsion |
j |
8037056669745468019537/8292780114249267 |
j-invariant |
L |
3.0789556731939 |
L(r)(E,1)/r! |
Ω |
0.41208721300537 |
Real period |
R |
1.2452686292379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35217c2 82173d2 |
Quadratic twists by: -3 -7 |