Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ck |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1858560 = -1 · 210 · 3 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,57] |
[a1,a2,a3,a4,a6] |
Generators |
[8:25:1] |
Generators of the group modulo torsion |
j |
2816/15 |
j-invariant |
L |
4.5870165579189 |
L(r)(E,1)/r! |
Ω |
1.9006497092533 |
Real period |
R |
2.4133939759725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160jl1 14520s1 116160ci1 |
Quadratic twists by: -4 8 -11 |