Atkin-Lehner |
2+ 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384s |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6.8125290447558E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1557501,-3900001250] |
[a1,a2,a3,a4,a6] |
Generators |
[1032752573871737932650:-110089613243974497967715:91754599466107304] |
Generators of the group modulo torsion |
j |
279866704577660926/4563004386330117 |
j-invariant |
L |
8.2000813857085 |
L(r)(E,1)/r! |
Ω |
0.06495692257616 |
Real period |
R |
31.559689959982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128be3 |
Quadratic twists by: -3 |