Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
13350o |
Isogeny class |
Conductor |
13350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-16240525312500 = -1 · 22 · 38 · 57 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1088,194292] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:454:1] |
Generators of the group modulo torsion |
j |
-9116230969/1039393620 |
j-invariant |
L |
8.4739842807285 |
L(r)(E,1)/r! |
Ω |
0.57129118475213 |
Real period |
R |
0.92706492184948 |
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 |
106800x2 40050k2 2670a2 |
Quadratic twists by: -4 -3 5 |