Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8700c |
Isogeny class |
Conductor |
8700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-7432382812500000000 = -1 · 28 · 38 · 516 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2105508,-1182526488] |
[a1,a2,a3,a4,a6] |
j |
-258068272529292496/1858095703125 |
j-invariant |
L |
1.503331623468 |
L(r)(E,1)/r! |
Ω |
0.062638817644501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34800cx2 26100x2 1740f2 |
Quadratic twists by: -4 -3 5 |