Atkin-Lehner |
2- 3- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37740i |
Isogeny class |
Conductor |
37740 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-164649958560000 = -1 · 28 · 32 · 54 · 174 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89060,10218900] |
[a1,a2,a3,a4,a6] |
j |
-305166386791851856/643163900625 |
j-invariant |
L |
4.5989671531441 |
L(r)(E,1)/r! |
Ω |
0.57487089413744 |
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 |
113220f2 |
Quadratic twists by: -3 |