Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8360n |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
54601250000 = 24 · 57 · 112 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26111,-1632686] |
[a1,a2,a3,a4,a6] |
j |
123052623197108224/3412578125 |
j-invariant |
L |
0.75114366833358 |
L(r)(E,1)/r! |
Ω |
0.37557183416679 |
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 |
16720d1 66880x1 75240q1 41800h1 |
Quadratic twists by: -4 8 -3 5 |