Atkin-Lehner |
2+ 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
73584k |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
140999613152719104 = 28 · 316 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220071,35392390] |
[a1,a2,a3,a4,a6] |
j |
6316037053284688/755527762521 |
j-invariant |
L |
1.2635549080102 |
L(r)(E,1)/r! |
Ω |
0.31588872843623 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36792d2 24528g2 |
Quadratic twists by: -4 -3 |