Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200u |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2018508800 = -1 · 220 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 11- -2 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,287,-1183] |
[a1,a2,a3,a4,a6] |
j |
397535/308 |
j-invariant |
L |
1.6415249476636 |
L(r)(E,1)/r! |
Ω |
0.82076282290538 |
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 |
123200fh1 3850a1 123200dp1 |
Quadratic twists by: -4 8 5 |