Atkin-Lehner |
5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
111265h |
Isogeny class |
Conductor |
111265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
603648 |
Modular degree for the optimal curve |
Δ |
-17585085546875 = -1 · 58 · 72 · 11 · 174 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- 11- -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-72346,-7468448] |
[a1,a2,a3,a4,a6] |
j |
-501392232607744/210546875 |
j-invariant |
L |
0.58218978951897 |
L(r)(E,1)/r! |
Ω |
0.14554741227445 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111265k1 |
Quadratic twists by: 17 |