Atkin-Lehner |
2- 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124270z |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-6839820800000 = -1 · 212 · 55 · 172 · 432 |
Discriminant |
Eigenvalues |
2- -3 5- -3 -4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3558,94809] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:31:1] [-13:221:1] |
Generators of the group modulo torsion |
j |
17240828354991/23667200000 |
j-invariant |
L |
10.213117863595 |
L(r)(E,1)/r! |
Ω |
0.50514886673229 |
Real period |
R |
0.16848363152612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124270v1 |
Quadratic twists by: 17 |