Atkin-Lehner |
2+ 3+ 5+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
30810c |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6920076969000000 = 26 · 38 · 56 · 132 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2133003,-1199927043] |
[a1,a2,a3,a4,a6] |
j |
1073243900786988765098809/6920076969000000 |
j-invariant |
L |
0.99940568744222 |
L(r)(E,1)/r! |
Ω |
0.12492571093014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92430bt2 |
Quadratic twists by: -3 |