Atkin-Lehner |
2- 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74160bm |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-14596912800000 = -1 · 28 · 311 · 55 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 2 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8967,-374974] |
[a1,a2,a3,a4,a6] |
j |
-427265402704/78215625 |
j-invariant |
L |
2.4289039780457 |
L(r)(E,1)/r! |
Ω |
0.24289039565252 |
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 |
18540g1 24720h1 |
Quadratic twists by: -4 -3 |