Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960bt |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
160646492160 = 212 · 33 · 5 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87185,-9937665] |
[a1,a2,a3,a4,a6] |
Generators |
[613:12936:1] |
Generators of the group modulo torsion |
j |
17893449053367616/39220335 |
j-invariant |
L |
6.9806381953417 |
L(r)(E,1)/r! |
Ω |
0.27783615091293 |
Real period |
R |
2.0937514707874 |
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 |
36960bm4 73920eb1 110880w4 |
Quadratic twists by: -4 8 -3 |