Atkin-Lehner |
2+ 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120h |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-807327648000000000 = -1 · 214 · 35 · 59 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 0 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-248145,-64201743] |
[a1,a2,a3,a4,a6] |
j |
-103138808366288464/49275369140625 |
j-invariant |
L |
1.8821515226706 |
L(r)(E,1)/r! |
Ω |
0.10456397347736 |
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 |
45120da2 2820e2 |
Quadratic twists by: -4 8 |