Atkin-Lehner |
2- 3- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714o |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1243929531794796 = -1 · 22 · 38 · 73 · 113 · 473 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11817852,-15638074884] |
[a1,a2,a3,a4,a6] |
j |
-182532143955165895946446273/1243929531794796 |
j-invariant |
L |
1.9542321748539 |
L(r)(E,1)/r! |
Ω |
0.040713170309456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65142p2 |
Quadratic twists by: -3 |