Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912cv |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
408451185451008 = 213 · 32 · 78 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78808,-8485996] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:204:1] |
Generators of the group modulo torsion |
j |
112329015625/847602 |
j-invariant |
L |
9.2822861216122 |
L(r)(E,1)/r! |
Ω |
0.28507168874125 |
Real period |
R |
4.0701543189486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114b2 10416x2 |
Quadratic twists by: -4 -7 |