Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330dn |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-32779811446200000 = -1 · 26 · 37 · 55 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-100778,-15058263] |
[a1,a2,a3,a4,a6] |
j |
-26934258841/7800000 |
j-invariant |
L |
4.7520284249143 |
L(r)(E,1)/r! |
Ω |
0.13200078960357 |
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 |
19110d1 57330ew1 |
Quadratic twists by: -3 -7 |