Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3542d |
Isogeny class |
Conductor |
3542 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
100624463099776 = 27 · 710 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11+ 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1899511,-1007177763] |
[a1,a2,a3,a4,a6] |
Generators |
[12846:65607:8] |
Generators of the group modulo torsion |
j |
757965222323107486686153/100624463099776 |
j-invariant |
L |
2.8933860698688 |
L(r)(E,1)/r! |
Ω |
0.12859944497147 |
Real period |
R |
4.4998422357277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28336v2 113344bw2 31878bo2 88550be2 |
Quadratic twists by: -4 8 -3 5 |