Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960bf |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6296801280 = -1 · 212 · 3 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,399,2145] |
[a1,a2,a3,a4,a6] |
Generators |
[11:88:1] |
Generators of the group modulo torsion |
j |
1710777536/1537305 |
j-invariant |
L |
4.665437361506 |
L(r)(E,1)/r! |
Ω |
0.87386793685964 |
Real period |
R |
2.6694178632255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960bo2 73920im1 110880bx2 |
Quadratic twists by: -4 8 -3 |