Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30400ba |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
667243520000000 = 216 · 57 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22700,434000] |
[a1,a2,a3,a4,a6] |
j |
1263284964/651605 |
j-invariant |
L |
0.90000746485239 |
L(r)(E,1)/r! |
Ω |
0.45000373242667 |
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 |
30400i3 7600c4 6080k4 |
Quadratic twists by: -4 8 5 |