Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520k |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-9132912000000 = -1 · 210 · 39 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6372,-243864] |
[a1,a2,a3,a4,a6] |
j |
-1419579648/453125 |
j-invariant |
L |
3.1547642831532 |
L(r)(E,1)/r! |
Ω |
0.26289702341152 |
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 |
83520dt2 5220a2 83520e1 |
Quadratic twists by: -4 8 -3 |