Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6760f |
Isogeny class |
Conductor |
6760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
55143396739600 = 24 · 52 · 1310 |
Discriminant |
Eigenvalues |
2+ -1 5- 3 3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9520,16925] |
[a1,a2,a3,a4,a6] |
j |
43264/25 |
j-invariant |
L |
2.1345804977834 |
L(r)(E,1)/r! |
Ω |
0.53364512444585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13520k1 54080h1 60840bl1 33800q1 |
Quadratic twists by: -4 8 -3 5 |