Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
38440j |
Isogeny class |
Conductor |
38440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-110050456444000000 = -1 · 28 · 56 · 317 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,118844,2504544] |
[a1,a2,a3,a4,a6] |
Generators |
[10:1922:1] |
Generators of the group modulo torsion |
j |
817036976/484375 |
j-invariant |
L |
1.1828089827686 |
L(r)(E,1)/r! |
Ω |
0.20346405404784 |
Real period |
R |
0.7266695020788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76880f2 1240d2 |
Quadratic twists by: -4 -31 |