Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560bp |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
714038312960 = 230 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2252,6256] |
[a1,a2,a3,a4,a6] |
j |
4818245769/2723840 |
j-invariant |
L |
0.77789234862116 |
L(r)(E,1)/r! |
Ω |
0.77789234853752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42560cu1 1330c1 |
Quadratic twists by: -4 8 |