Atkin-Lehner |
2+ 3- 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63270m |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-1229968800 = -1 · 25 · 37 · 52 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-945,-11075] |
[a1,a2,a3,a4,a6] |
j |
-128100283921/1687200 |
j-invariant |
L |
1.7207179131659 |
L(r)(E,1)/r! |
Ω |
0.43017947865922 |
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 |
21090j1 |
Quadratic twists by: -3 |