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 |
Δ |
326562500000000 = 28 · 514 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27156,-1496000] |
[a1,a2,a3,a4,a6] |
j |
8651614090955344/1275634765625 |
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 |
16720d2 66880x2 75240q2 41800h2 |
Quadratic twists by: -4 8 -3 5 |