Atkin-Lehner |
2+ 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
11110c |
Isogeny class |
Conductor |
11110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-86796875000000 = -1 · 26 · 513 · 11 · 101 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 11+ 5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2563,-452083] |
[a1,a2,a3,a4,a6] |
j |
-1863091849086649/86796875000000 |
j-invariant |
L |
0.53029310498225 |
L(r)(E,1)/r! |
Ω |
0.26514655249113 |
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 |
88880m1 99990bb1 55550n1 122210n1 |
Quadratic twists by: -4 -3 5 -11 |