Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352ce |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2529128448 = -1 · 212 · 36 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,204,-2144] |
[a1,a2,a3,a4,a6] |
Generators |
[26:144:1] |
Generators of the group modulo torsion |
j |
314432/847 |
j-invariant |
L |
4.288206797472 |
L(r)(E,1)/r! |
Ω |
0.74373216976137 |
Real period |
R |
1.4414486060409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352bq2 22176y1 4928q2 |
Quadratic twists by: -4 8 -3 |