Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6080a |
Isogeny class |
Conductor |
6080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-622592000000 = -1 · 221 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 0 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1921,-49279] |
[a1,a2,a3,a4,a6] |
Generators |
[56:125:1] |
Generators of the group modulo torsion |
j |
-2992209121/2375000 |
j-invariant |
L |
2.8082225126314 |
L(r)(E,1)/r! |
Ω |
0.34868543265945 |
Real period |
R |
2.0134354991639 |
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 |
6080p1 190c1 54720bq1 30400c1 |
Quadratic twists by: -4 8 -3 5 |