Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280y |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36729991987200 = 221 · 36 · 52 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-614028,185195248] |
[a1,a2,a3,a4,a6] |
j |
133974081659809/192200 |
j-invariant |
L |
2.2108592068259 |
L(r)(E,1)/r! |
Ω |
0.55271481204501 |
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 |
89280em2 2790h2 9920j2 |
Quadratic twists by: -4 8 -3 |