Atkin-Lehner |
2- 11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8294d |
Isogeny class |
Conductor |
8294 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-357222480472 = -1 · 23 · 11 · 136 · 292 |
Discriminant |
Eigenvalues |
2- -2 0 2 11+ 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-858,30268] |
[a1,a2,a3,a4,a6] |
Generators |
[-366:5546:27] |
Generators of the group modulo torsion |
j |
-69858171006625/357222480472 |
j-invariant |
L |
4.736361478711 |
L(r)(E,1)/r! |
Ω |
0.82933257665464 |
Real period |
R |
5.711052009818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
66352m2 74646y2 91234i2 107822j2 |
Quadratic twists by: -4 -3 -11 13 |