Atkin-Lehner |
2- 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74160be |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
3645112320 = 218 · 33 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-387,386] |
[a1,a2,a3,a4,a6] |
j |
57960603/32960 |
j-invariant |
L |
2.4089118970616 |
L(r)(E,1)/r! |
Ω |
1.2044559715823 |
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 |
9270c1 74160y1 |
Quadratic twists by: -4 -3 |