Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280l |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8303040000000000 = 215 · 33 · 510 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110508,13442832] |
[a1,a2,a3,a4,a6] |
j |
168690711527064/9384765625 |
j-invariant |
L |
3.263160575181 |
L(r)(E,1)/r! |
Ω |
0.40789507598325 |
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 |
89280e2 44640h2 89280x2 |
Quadratic twists by: -4 8 -3 |