Atkin-Lehner |
2+ 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040n |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-84820975993600 = -1 · 28 · 52 · 78 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 11- -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8260,333200] |
[a1,a2,a3,a4,a6] |
Generators |
[2845:151800:1] |
Generators of the group modulo torsion |
j |
243428436498224/331331937475 |
j-invariant |
L |
9.7698088088534 |
L(r)(E,1)/r! |
Ω |
0.40930329802685 |
Real period |
R |
5.9673406746055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999933049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58520u2 |
Quadratic twists by: -4 |