Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120cl |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
176972040000 = 26 · 37 · 54 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20270,1103868] |
[a1,a2,a3,a4,a6] |
Generators |
[76:-90:1] |
Generators of the group modulo torsion |
j |
14392174284270784/2765188125 |
j-invariant |
L |
9.2229941410784 |
L(r)(E,1)/r! |
Ω |
0.98482215325228 |
Real period |
R |
0.33446916969633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120j1 114240z2 |
Quadratic twists by: -4 8 |