Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280eo |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
214209313269350400 = 224 · 312 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-246828,41616848] |
[a1,a2,a3,a4,a6] |
j |
8702409880009/1120910400 |
j-invariant |
L |
1.21733771285 |
L(r)(E,1)/r! |
Ω |
0.3043344305303 |
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 |
89280ba2 22320cb2 29760bz2 |
Quadratic twists by: -4 8 -3 |