Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3800c |
Isogeny class |
Conductor |
3800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1120 |
Modular degree for the optimal curve |
Δ |
-76000000 = -1 · 28 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 -3 4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,437] |
[a1,a2,a3,a4,a6] |
j |
-1024/19 |
j-invariant |
L |
3.2607657152287 |
L(r)(E,1)/r! |
Ω |
1.6303828576144 |
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 |
7600e1 30400p1 34200w1 152a1 |
Quadratic twists by: -4 8 -3 5 |