Atkin-Lehner |
3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129285t |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8700360054069425625 = 310 · 54 · 138 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1492133,687420452] |
[a1,a2,a3,a4,a6] |
Generators |
[-1368:13612:1] [-354:34399:1] |
Generators of the group modulo torsion |
j |
104413920565969/2472575625 |
j-invariant |
L |
5.8750932182467 |
L(r)(E,1)/r! |
Ω |
0.23149885547878 |
Real period |
R |
6.3446244803962 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999925606 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43095q2 9945i2 |
Quadratic twists by: -3 13 |