Atkin-Lehner |
3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23265n |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-4461602149909575 = -1 · 322 · 52 · 112 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6975,-3207600] |
[a1,a2,a3,a4,a6] |
Generators |
[6480:518400:1] |
Generators of the group modulo torsion |
j |
51474696591599/6120167558175 |
j-invariant |
L |
5.688503658247 |
L(r)(E,1)/r! |
Ω |
0.20650155824937 |
Real period |
R |
6.8867563354868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7755h1 116325q1 |
Quadratic twists by: -3 5 |