Atkin-Lehner |
2+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
54418d |
Isogeny class |
Conductor |
54418 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4003702914848 = 25 · 72 · 136 · 232 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29410,1936404] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:688:1] |
Generators of the group modulo torsion |
j |
582810602977/829472 |
j-invariant |
L |
3.3527270684208 |
L(r)(E,1)/r! |
Ω |
0.78114028615046 |
Real period |
R |
2.1460467011284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
322d2 |
Quadratic twists by: 13 |