Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960z |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-1280664000000 = -1 · 29 · 33 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2920,80600] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:330:1] |
Generators of the group modulo torsion |
j |
-5379612920648/2501296875 |
j-invariant |
L |
8.0855048249909 |
L(r)(E,1)/r! |
Ω |
0.80348939811003 |
Real period |
R |
0.27952746704316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960i2 73920eo2 110880dc2 |
Quadratic twists by: -4 8 -3 |