Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280bq |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-7828605378547200000 = -1 · 212 · 33 · 55 · 137 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76261,134835539] |
[a1,a2,a3,a4,a6] |
Generators |
[2266:93309:8] |
Generators of the group modulo torsion |
j |
-11975039274594304/1911280609996875 |
j-invariant |
L |
6.7925499693184 |
L(r)(E,1)/r! |
Ω |
0.19133308641818 |
Real period |
R |
5.9168630097379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3705b1 |
Quadratic twists by: -4 |