Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36120z |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8946201600 = 210 · 33 · 52 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3960,-94500] |
[a1,a2,a3,a4,a6] |
Generators |
[86:440:1] |
Generators of the group modulo torsion |
j |
6708400443364/8736525 |
j-invariant |
L |
4.5311294394422 |
L(r)(E,1)/r! |
Ω |
0.60186707082259 |
Real period |
R |
3.7642277332514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240x2 108360o2 |
Quadratic twists by: -4 -3 |