Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3960l |
Isogeny class |
Conductor |
3960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19245600000000 = 211 · 37 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14547,641486] |
[a1,a2,a3,a4,a6] |
j |
228027144098/12890625 |
j-invariant |
L |
2.7042258388963 |
L(r)(E,1)/r! |
Ω |
0.67605645972408 |
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 |
7920p3 31680p4 1320f3 19800bp3 |
Quadratic twists by: -4 8 -3 5 |