Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40204l |
Isogeny class |
Conductor |
40204 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-201498550543188736 = -1 · 28 · 19 · 2310 |
Discriminant |
Eigenvalues |
2- -2 -3 -1 -1 -4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-205957,-42029481] |
[a1,a2,a3,a4,a6] |
j |
-25494618112/5316979 |
j-invariant |
L |
0.44325391296248 |
L(r)(E,1)/r! |
Ω |
0.11081347825837 |
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 |
1748d1 |
Quadratic twists by: -23 |