Atkin-Lehner |
2+ 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480n |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
-178375219200 = -1 · 211 · 310 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 3 1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2667,-56774] |
[a1,a2,a3,a4,a6] |
j |
-1405190738/119475 |
j-invariant |
L |
2.644531198974 |
L(r)(E,1)/r! |
Ω |
0.33056639985317 |
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 |
21240m1 14160f1 |
Quadratic twists by: -4 -3 |