Atkin-Lehner |
2+ 3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240x |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
48 |
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 |
[30:60:1] |
Generators of the group modulo torsion |
j |
6708400443364/8736525 |
j-invariant |
L |
8.5619990989664 |
L(r)(E,1)/r! |
Ω |
1.2979933657642 |
Real period |
R |
0.54969458531252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997437 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120z2 |
Quadratic twists by: -4 |