Atkin-Lehner |
2- 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
26448k |
Isogeny class |
Conductor |
26448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-30961933056 = -1 · 28 · 32 · 19 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 5 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,435,7569] |
[a1,a2,a3,a4,a6] |
Generators |
[0:87:1] |
Generators of the group modulo torsion |
j |
35477479424/120945051 |
j-invariant |
L |
5.1563877255791 |
L(r)(E,1)/r! |
Ω |
0.83120371633506 |
Real period |
R |
0.38771991332 |
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 |
6612c1 105792br1 79344bf1 |
Quadratic twists by: -4 8 -3 |