Atkin-Lehner |
2- 3+ 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cp |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
23131993500 = 22 · 33 · 53 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-392012,-94372589] |
[a1,a2,a3,a4,a6] |
Generators |
[901:16379:1] |
Generators of the group modulo torsion |
j |
246749904915007243203/856740500 |
j-invariant |
L |
11.705463975517 |
L(r)(E,1)/r! |
Ω |
0.19079843183533 |
Real period |
R |
2.5562456631348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810e2 |
Quadratic twists by: -3 |