Atkin-Lehner |
2+ 3+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57072g |
Isogeny class |
Conductor |
57072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-15352425072 = -1 · 24 · 39 · 29 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 -1 -1 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,372,-5409] |
[a1,a2,a3,a4,a6] |
j |
354866144000/959526567 |
j-invariant |
L |
1.279710259966 |
L(r)(E,1)/r! |
Ω |
0.63985512954838 |
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 |
28536h1 |
Quadratic twists by: -4 |