Atkin-Lehner |
2- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
57038n |
Isogeny class |
Conductor |
57038 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1484509063830976 = 26 · 196 · 793 |
Discriminant |
Eigenvalues |
2- -1 3 -1 0 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29429,570459] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:808:1] |
Generators of the group modulo torsion |
j |
59914169497/31554496 |
j-invariant |
L |
8.48280785272 |
L(r)(E,1)/r! |
Ω |
0.41938377280708 |
Real period |
R |
1.6855698771011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
158d1 |
Quadratic twists by: -19 |