Atkin-Lehner |
2+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11704c |
Isogeny class |
Conductor |
11704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-28838656 = -1 · 28 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,76,-76] |
[a1,a2,a3,a4,a6] |
j |
187153328/112651 |
j-invariant |
L |
2.4421835955084 |
L(r)(E,1)/r! |
Ω |
1.2210917977542 |
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 |
23408c2 93632m2 105336bx2 81928g2 |
Quadratic twists by: -4 8 -3 -7 |