Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590bs |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-429294431250000 = -1 · 24 · 38 · 58 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15592,-661269] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2481:1] |
Generators of the group modulo torsion |
j |
575079351988679/588881250000 |
j-invariant |
L |
8.609257514609 |
L(r)(E,1)/r! |
Ω |
0.28771026716761 |
Real period |
R |
1.8702099162507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999826 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530h2 |
Quadratic twists by: -3 |