Atkin-Lehner |
2+ 7+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105616b |
Isogeny class |
Conductor |
105616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
89237915648 = 211 · 72 · 232 · 412 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ -6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22475,1296794] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:1610:1] [58:434:1] |
Generators of the group modulo torsion |
j |
613045714781250/43573201 |
j-invariant |
L |
10.681877882645 |
L(r)(E,1)/r! |
Ω |
1.0214381186046 |
Real period |
R |
2.6144211985461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52808g2 |
Quadratic twists by: -4 |