Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210bi |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2872956752119296000 = -1 · 212 · 37 · 53 · 376 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-166590,85687956] |
[a1,a2,a3,a4,a6] |
j |
-273359449/1536000 |
j-invariant |
L |
0.87959806641281 |
L(r)(E,1)/r! |
Ω |
0.21989942693408 |
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 |
41070bl3 90c3 |
Quadratic twists by: -3 37 |