Atkin-Lehner |
3+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23265i |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-281013863625 = -1 · 33 · 53 · 116 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5- 1 11- -3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-384,25765] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:167:1] |
Generators of the group modulo torsion |
j |
-232268138523/10407920875 |
j-invariant |
L |
6.9611982488576 |
L(r)(E,1)/r! |
Ω |
0.81040981774548 |
Real period |
R |
0.23860349885908 |
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 |
23265a1 116325h1 |
Quadratic twists by: -3 5 |