Atkin-Lehner |
5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
111265l |
Isogeny class |
Conductor |
111265 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1028160 |
Modular degree for the optimal curve |
Δ |
-161207138552469625 = -1 · 53 · 75 · 11 · 178 |
Discriminant |
Eigenvalues |
1 2 5- 7+ 11+ 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,133368,4716989] |
[a1,a2,a3,a4,a6] |
Generators |
[72038947380:1969379104021:154854153] |
Generators of the group modulo torsion |
j |
37608167159/23109625 |
j-invariant |
L |
11.450985409988 |
L(r)(E,1)/r! |
Ω |
0.19946297549311 |
Real period |
R |
19.136359152501 |
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 |
111265f1 |
Quadratic twists by: 17 |