Atkin-Lehner |
3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
231a |
Isogeny class |
Conductor |
231 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-190238433 = -1 · 3 · 78 · 11 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,126,432] |
[a1,a2,a3,a4,a6] |
j |
221115865823/190238433 |
j-invariant |
L |
0.5822888619653 |
L(r)(E,1)/r! |
Ω |
1.1645777239306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3696w4 14784bm4 693d4 5775n4 |
Quadratic twists by: -4 8 -3 5 |