Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960bu |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21251704320 = 29 · 34 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30280,-2038180] |
[a1,a2,a3,a4,a6] |
Generators |
[383:6534:1] |
Generators of the group modulo torsion |
j |
5997022885546568/41507235 |
j-invariant |
L |
7.7744587411306 |
L(r)(E,1)/r! |
Ω |
0.36191749067714 |
Real period |
R |
2.6851626894935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960m4 73920r4 110880bk4 |
Quadratic twists by: -4 8 -3 |