Atkin-Lehner |
3+ 5- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
11715d |
Isogeny class |
Conductor |
11715 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1169449875 = 32 · 53 · 114 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-426002,-107197851] |
[a1,a2,a3,a4,a6] |
Generators |
[6782:91879:8] |
Generators of the group modulo torsion |
j |
8549883934105691275561/1169449875 |
j-invariant |
L |
4.7635722811776 |
L(r)(E,1)/r! |
Ω |
0.1868729805307 |
Real period |
R |
8.4969877536595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35145f4 58575o4 128865l4 |
Quadratic twists by: -3 5 -11 |