Atkin-Lehner |
3+ 5- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
11715d |
Isogeny class |
Conductor |
11715 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
771981890625 = 34 · 56 · 112 · 712 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26627,-1682976] |
[a1,a2,a3,a4,a6] |
Generators |
[688:17156:1] |
Generators of the group modulo torsion |
j |
2087929890227365561/771981890625 |
j-invariant |
L |
4.7635722811776 |
L(r)(E,1)/r! |
Ω |
0.3737459610614 |
Real period |
R |
4.2484938768297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35145f2 58575o2 128865l2 |
Quadratic twists by: -3 5 -11 |