Atkin-Lehner |
2- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
51920r |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
33696080 = 24 · 5 · 112 · 592 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-221,-1310] |
[a1,a2,a3,a4,a6] |
Generators |
[934:28556:1] |
Generators of the group modulo torsion |
j |
74945265664/2106005 |
j-invariant |
L |
4.4775313727091 |
L(r)(E,1)/r! |
Ω |
1.2398908882151 |
Real period |
R |
3.6112301616692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12980b1 |
Quadratic twists by: -4 |