Atkin-Lehner |
2- 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44460j |
Isogeny class |
Conductor |
44460 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-9019643770800 = -1 · 24 · 37 · 52 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9408,379793] |
[a1,a2,a3,a4,a6] |
Generators |
[134:-1235:1] [-74:819:1] |
Generators of the group modulo torsion |
j |
-7895290740736/773289075 |
j-invariant |
L |
7.8724968242539 |
L(r)(E,1)/r! |
Ω |
0.71353167752376 |
Real period |
R |
0.22985713973411 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14820e1 |
Quadratic twists by: -3 |