Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120i |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1931558400 = 29 · 38 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2163,38662] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:270:1] [-19:270:1] |
Generators of the group modulo torsion |
j |
2998442888/5175 |
j-invariant |
L |
7.4476221488144 |
L(r)(E,1)/r! |
Ω |
1.4785013152136 |
Real period |
R |
1.2593195001216 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33120bf2 66240cr2 11040p2 |
Quadratic twists by: -4 8 -3 |