Atkin-Lehner |
2- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600co |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1990144000 = -1 · 212 · 53 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- -1 -2 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,160,-2000] |
[a1,a2,a3,a4,a6] |
Generators |
[9:13:1] |
Generators of the group modulo torsion |
j |
884736/3887 |
j-invariant |
L |
5.0845641421123 |
L(r)(E,1)/r! |
Ω |
0.74504857463754 |
Real period |
R |
1.7061183457353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999518153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7475g1 119600bw1 |
Quadratic twists by: -4 5 |