Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480cf |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-12517853600000 = -1 · 28 · 55 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 2 0 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160540,-24812600] |
[a1,a2,a3,a4,a6] |
j |
-15193155676624/415625 |
j-invariant |
L |
2.3850791484195 |
L(r)(E,1)/r! |
Ω |
0.11925395911303 |
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 |
18620o1 10640o1 |
Quadratic twists by: -4 -7 |