Atkin-Lehner |
2- 3- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850cm |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
652800 |
Modular degree for the optimal curve |
Δ |
-89783049585937500 = -1 · 22 · 35 · 59 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,62862,-13072608] |
[a1,a2,a3,a4,a6] |
j |
14065585797619/45968921388 |
j-invariant |
L |
6.933668049499 |
L(r)(E,1)/r! |
Ω |
0.17334170123457 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44850o1 |
Quadratic twists by: 5 |