Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
96320ba |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-7551488000000000000 = -1 · 221 · 512 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 3 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1795585,-934889983] |
[a1,a2,a3,a4,a6] |
Generators |
[2339:87500:1] |
Generators of the group modulo torsion |
j |
-2442316470222480769/28806640625000 |
j-invariant |
L |
6.3763864166034 |
L(r)(E,1)/r! |
Ω |
0.065164785623621 |
Real period |
R |
1.359030364559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96320bs2 3010f2 |
Quadratic twists by: -4 8 |