Atkin-Lehner |
5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44785a |
Isogeny class |
Conductor |
44785 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
66438687453125 = 56 · 134 · 533 |
Discriminant |
Eigenvalues |
0 -2 5+ -1 0 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11041,209915] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:812:1] |
Generators of the group modulo torsion |
j |
5212125528064/2326203125 |
j-invariant |
L |
2.7686000574093 |
L(r)(E,1)/r! |
Ω |
0.55618901918196 |
Real period |
R |
0.82963403984639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44785d2 |
Quadratic twists by: 13 |