Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296x |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4384751616 = 217 · 34 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70497,7181055] |
[a1,a2,a3,a4,a6] |
Generators |
[3:2640:1] |
Generators of the group modulo torsion |
j |
295618666925234/33453 |
j-invariant |
L |
10.744208160762 |
L(r)(E,1)/r! |
Ω |
1.0679566339405 |
Real period |
R |
2.5151321267314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000784 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296bi4 9912e3 |
Quadratic twists by: -4 8 |