Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160dj |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
421446708756480 = 217 · 3 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19521,349215] |
[a1,a2,a3,a4,a6] |
Generators |
[-807:25712:27] |
Generators of the group modulo torsion |
j |
29282/15 |
j-invariant |
L |
10.057424302204 |
L(r)(E,1)/r! |
Ω |
0.46812021349212 |
Real period |
R |
5.3711760170531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160fs1 14520bh1 116160dm1 |
Quadratic twists by: -4 8 -11 |