Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330dz |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-47803891692375000 = -1 · 23 · 36 · 56 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25808,-10633269] |
[a1,a2,a3,a4,a6] |
j |
-22164361129/557375000 |
j-invariant |
L |
3.7204531739874 |
L(r)(E,1)/r! |
Ω |
0.15501888225959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370g2 8190bx2 |
Quadratic twists by: -3 -7 |