Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416gm |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
27417446411636736 = 212 · 314 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-329124,-72237440] |
[a1,a2,a3,a4,a6] |
Generators |
[2573:126945:1] |
Generators of the group modulo torsion |
j |
1320428512222912/9182047329 |
j-invariant |
L |
7.8988833522987 |
L(r)(E,1)/r! |
Ω |
0.19940758337298 |
Real period |
R |
4.9514687572576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52416fh2 26208q1 17472dd2 |
Quadratic twists by: -4 8 -3 |