Atkin-Lehner |
2+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480a |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-4005713152000 = -1 · 211 · 53 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 1 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11123,-461678] |
[a1,a2,a3,a4,a6] |
j |
-631642482/16625 |
j-invariant |
L |
1.8566470970621 |
L(r)(E,1)/r! |
Ω |
0.23208088857207 |
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 |
37240c1 10640e1 |
Quadratic twists by: -4 -7 |