Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6760d |
Isogeny class |
Conductor |
6760 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-292464640 = -1 · 211 · 5 · 134 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 -5 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,-820] |
[a1,a2,a3,a4,a6] |
Generators |
[61:468:1] |
Generators of the group modulo torsion |
j |
-338/5 |
j-invariant |
L |
5.5502142096572 |
L(r)(E,1)/r! |
Ω |
0.74115064915716 |
Real period |
R |
2.4962150479433 |
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 |
13520f1 54080bq1 60840bw1 33800w1 |
Quadratic twists by: -4 8 -3 5 |