Atkin-Lehner |
2+ 3+ 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050f |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
770048 |
Modular degree for the optimal curve |
Δ |
-63618048000000 = -1 · 216 · 34 · 56 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18800,1056000] |
[a1,a2,a3,a4,a6] |
Generators |
[65:305:1] |
Generators of the group modulo torsion |
j |
-47034153084673/4071555072 |
j-invariant |
L |
2.2391783549297 |
L(r)(E,1)/r! |
Ω |
0.60798055977539 |
Real period |
R |
1.8414884455585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013525 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4602f1 |
Quadratic twists by: 5 |