Atkin-Lehner |
2- 3+ 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
90480v |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
238722142464000000 = 214 · 38 · 56 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-330936,69513840] |
[a1,a2,a3,a4,a6] |
Generators |
[-244:11648:1] |
Generators of the group modulo torsion |
j |
978581759592931129/58281773062500 |
j-invariant |
L |
4.4098485515019 |
L(r)(E,1)/r! |
Ω |
0.30788181709822 |
Real period |
R |
3.5807965144036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003283 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11310d2 |
Quadratic twists by: -4 |