Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800bk |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-60719155200000000 = -1 · 217 · 34 · 58 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,70367,9407137] |
[a1,a2,a3,a4,a6] |
j |
18814587262/29648025 |
j-invariant |
L |
1.9115498178919 |
L(r)(E,1)/r! |
Ω |
0.23894372711425 |
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 |
52800gn3 6600m4 10560bf4 |
Quadratic twists by: -4 8 5 |