Atkin-Lehner |
5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
28435j |
Isogeny class |
Conductor |
28435 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-6095294781235 = -1 · 5 · 1110 · 47 |
Discriminant |
Eigenvalues |
2 2 5- 2 11- -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1170,117391] |
[a1,a2,a3,a4,a6] |
Generators |
[9340526546:105640538197:86350888] |
Generators of the group modulo torsion |
j |
99897344/3440635 |
j-invariant |
L |
16.851567354325 |
L(r)(E,1)/r! |
Ω |
0.57024605116135 |
Real period |
R |
14.775698420012 |
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 |
2585b1 |
Quadratic twists by: -11 |