Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3360q |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-4.10233359375E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6356880,6247602900] |
[a1,a2,a3,a4,a6] |
j |
-55486311952875723077768/801237030029296875 |
j-invariant |
L |
1.3493965215576 |
L(r)(E,1)/r! |
Ω |
0.16867456519471 |
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 |
3360x4 6720cb4 10080t4 16800r4 |
Quadratic twists by: -4 8 -3 5 |