Atkin-Lehner |
2- 3+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90480u |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
357444892299755520 = 217 · 33 · 5 · 134 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-416016,-99054144] |
[a1,a2,a3,a4,a6] |
Generators |
[-310:154:1] [7138:600474:1] |
Generators of the group modulo torsion |
j |
1943993954077461649/87266819409120 |
j-invariant |
L |
9.0276649515955 |
L(r)(E,1)/r! |
Ω |
0.18850654577424 |
Real period |
R |
23.945229366819 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310k4 |
Quadratic twists by: -4 |