Atkin-Lehner |
2+ 3+ 7+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
113526a |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
505417752 = 23 · 33 · 72 · 17 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2199,-39131] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:17:1] |
Generators of the group modulo torsion |
j |
43565903284203/18719176 |
j-invariant |
L |
2.9554566641256 |
L(r)(E,1)/r! |
Ω |
0.69718043255556 |
Real period |
R |
2.1195780813515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997866381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113526t2 |
Quadratic twists by: -3 |