Atkin-Lehner |
2+ 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74160k |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-9611136000 = -1 · 210 · 36 · 53 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-603,-7398] |
[a1,a2,a3,a4,a6] |
j |
-32482404/12875 |
j-invariant |
L |
1.8898663374804 |
L(r)(E,1)/r! |
Ω |
0.47246658328619 |
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 |
37080e1 8240d1 |
Quadratic twists by: -4 -3 |