Atkin-Lehner |
3+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123981h |
Isogeny class |
Conductor |
123981 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
31065051303 = 32 · 11 · 13 · 176 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 11- 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1983702,1074555468] |
[a1,a2,a3,a4,a6] |
Generators |
[279167:-120240:343] |
Generators of the group modulo torsion |
j |
35765103905346817/1287 |
j-invariant |
L |
4.1840398514203 |
L(r)(E,1)/r! |
Ω |
0.62674506627966 |
Real period |
R |
6.675824042543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000165881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
429b4 |
Quadratic twists by: 17 |