Atkin-Lehner |
2- 3+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90480u |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16412938813440000 = 217 · 312 · 54 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1035536,405896640] |
[a1,a2,a3,a4,a6] |
Generators |
[-776:27232:1] [-136:23328:1] |
Generators of the group modulo torsion |
j |
29981943972267024529/4007065140000 |
j-invariant |
L |
9.0276649515955 |
L(r)(E,1)/r! |
Ω |
0.37701309154848 |
Real period |
R |
5.9863073417049 |
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 |
11310k3 |
Quadratic twists by: -4 |