Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648y |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1436160 |
Modular degree for the optimal curve |
Δ |
-315043746208395264 = -1 · 212 · 323 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 2 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273648,-61360144] |
[a1,a2,a3,a4,a6] |
Generators |
[1585:59049:1] |
Generators of the group modulo torsion |
j |
-758949835165696/105507513171 |
j-invariant |
L |
6.6310813669184 |
L(r)(E,1)/r! |
Ω |
0.10356935374665 |
Real period |
R |
1.7784865779993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
8.9999999563249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7353q1 39216j1 |
Quadratic twists by: -4 -3 |