Atkin-Lehner |
2- 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320s |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
349393915904000000 = 218 · 56 · 112 · 893 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-293656,54345456] |
[a1,a2,a3,a4,a6] |
j |
683725660566893209/85301249000000 |
j-invariant |
L |
1.169937103504 |
L(r)(E,1)/r! |
Ω |
0.29248427579096 |
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 |
9790c3 |
Quadratic twists by: -4 |