Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20832w |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
247984128 = 212 · 32 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35873,-2603247] |
[a1,a2,a3,a4,a6] |
Generators |
[1866:10323:8] |
Generators of the group modulo torsion |
j |
1246461770728000/60543 |
j-invariant |
L |
3.8193170384732 |
L(r)(E,1)/r! |
Ω |
0.34690185542363 |
Real period |
R |
5.5048956625053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20832o2 41664bn1 62496l2 |
Quadratic twists by: -4 8 -3 |