Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968k |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-156527283163603968 = -1 · 210 · 33 · 74 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19965,19004018] |
[a1,a2,a3,a4,a6] |
j |
13500/2401 |
j-invariant |
L |
2.0004014815463 |
L(r)(E,1)/r! |
Ω |
0.25005024024493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984a2 121968l2 121968b2 |
Quadratic twists by: -4 -3 -11 |