Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57798a |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-21499307520835248 = -1 · 24 · 33 · 1310 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 6 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9348,7043648] |
[a1,a2,a3,a4,a6] |
Generators |
[1492:57052:1] |
Generators of the group modulo torsion |
j |
693154125/164968336 |
j-invariant |
L |
4.9936147511275 |
L(r)(E,1)/r! |
Ω |
0.2958410347623 |
Real period |
R |
2.1099231362652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57798z2 4446l2 |
Quadratic twists by: -3 13 |