Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680x |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
143424000000 = 212 · 33 · 56 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11785,488183] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-120:1] |
Generators of the group modulo torsion |
j |
44196652398016/35015625 |
j-invariant |
L |
8.7848628996985 |
L(r)(E,1)/r! |
Ω |
1.0245011044054 |
Real period |
R |
0.47637619592105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680i2 39840h1 |
Quadratic twists by: -4 8 |