Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800x |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2459125785600000000 = 216 · 38 · 58 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-380033,49511937] |
[a1,a2,a3,a4,a6] |
j |
5927735656804/2401490025 |
j-invariant |
L |
1.8698610347462 |
L(r)(E,1)/r! |
Ω |
0.23373262946133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800fx3 6600i3 10560t3 |
Quadratic twists by: -4 8 5 |