Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9920h |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
-9161328320 = -1 · 26 · 5 · 315 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 -2 6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3361,-76271] |
[a1,a2,a3,a4,a6] |
j |
-65626385453056/143145755 |
j-invariant |
L |
1.5673100142911 |
L(r)(E,1)/r! |
Ω |
0.31346200285822 |
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 |
9920s2 155a2 89280cu2 49600w2 |
Quadratic twists by: -4 8 -3 5 |