Atkin-Lehner |
2+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30160a |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
784160000 = 28 · 54 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 6 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-263,-938] |
[a1,a2,a3,a4,a6] |
j |
7858705104/3063125 |
j-invariant |
L |
2.451128108097 |
L(r)(E,1)/r! |
Ω |
1.2255640540491 |
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 |
15080g2 120640cp2 |
Quadratic twists by: -4 8 |