Atkin-Lehner |
2- 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256cb |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
28584335130624 = 214 · 36 · 72 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14264,-598416] |
[a1,a2,a3,a4,a6] |
j |
78364289651257/6978597444 |
j-invariant |
L |
1.7573583769686 |
L(r)(E,1)/r! |
Ω |
0.43933960334608 |
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 |
9282i2 |
Quadratic twists by: -4 |