Atkin-Lehner |
5+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11165b |
Isogeny class |
Conductor |
11165 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2639616739375 = -1 · 54 · 73 · 114 · 292 |
Discriminant |
Eigenvalues |
1 2 5+ 7- 11+ -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3297,-26968] |
[a1,a2,a3,a4,a6] |
j |
3961637357440391/2639616739375 |
j-invariant |
L |
2.7643486491914 |
L(r)(E,1)/r! |
Ω |
0.46072477486522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485bd1 55825a1 78155h1 122815d1 |
Quadratic twists by: -3 5 -7 -11 |