Atkin-Lehner |
2- 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640bu |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7848960000 = 213 · 3 · 54 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261640,-51424400] |
[a1,a2,a3,a4,a6] |
j |
483590594372061961/1916250 |
j-invariant |
L |
1.6887420520587 |
L(r)(E,1)/r! |
Ω |
0.2110927809437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330n4 |
Quadratic twists by: -4 |