Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120cf |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
227310753600 = 26 · 35 · 52 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1786,-18436] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-510:1] |
Generators of the group modulo torsion |
j |
9849886929856/3551730525 |
j-invariant |
L |
6.2912212057668 |
L(r)(E,1)/r! |
Ω |
0.75639477881694 |
Real period |
R |
0.41586889425864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120bk1 114240hz2 |
Quadratic twists by: -4 8 |