Atkin-Lehner |
2- 3- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11316b |
Isogeny class |
Conductor |
11316 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
6518016 = 28 · 33 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 0 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1269,16983] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:186:1] |
Generators of the group modulo torsion |
j |
883508641792/25461 |
j-invariant |
L |
6.3163976268485 |
L(r)(E,1)/r! |
Ω |
2.2102038408268 |
Real period |
R |
2.8578348793772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
45264i1 33948d1 |
Quadratic twists by: -4 -3 |