Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13860v |
Isogeny class |
Conductor |
13860 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-5868368352000 = -1 · 28 · 39 · 53 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2328,-108236] |
[a1,a2,a3,a4,a6] |
Generators |
[53:405:1] |
Generators of the group modulo torsion |
j |
7476617216/31444875 |
j-invariant |
L |
5.3963848155095 |
L(r)(E,1)/r! |
Ω |
0.38343224474009 |
Real period |
R |
2.3456490203666 |
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 |
55440eh1 4620k1 69300ba1 97020bl1 |
Quadratic twists by: -4 -3 5 -7 |