Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ci |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-3292552412160 = -1 · 210 · 3 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- -2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1775,-83015] |
[a1,a2,a3,a4,a6] |
Generators |
[383522019600:7271438177293:1076890625] |
Generators of the group modulo torsion |
j |
2816/15 |
j-invariant |
L |
7.9111891855205 |
L(r)(E,1)/r! |
Ω |
0.39927262873279 |
Real period |
R |
19.814003305533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160jo1 14520bn1 116160ck1 |
Quadratic twists by: -4 8 -11 |