Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300bf |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4591886112000 = -1 · 28 · 34 · 53 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1412,-101528] |
[a1,a2,a3,a4,a6] |
j |
5488/81 |
j-invariant |
L |
3.026223767883 |
L(r)(E,1)/r! |
Ω |
0.37827797098512 |
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 |
108900dw2 36300cl2 300d2 |
Quadratic twists by: -3 5 -11 |