Atkin-Lehner |
2- 3- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576z |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
982282730582016 = 212 · 38 · 193 · 732 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-587272,-173412940] |
[a1,a2,a3,a4,a6] |
Generators |
[24996:237250:27] |
Generators of the group modulo torsion |
j |
5468678455460725513/239815119771 |
j-invariant |
L |
9.0788369126504 |
L(r)(E,1)/r! |
Ω |
0.1724609650683 |
Real period |
R |
6.5803563938473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4161c2 |
Quadratic twists by: -4 |