Atkin-Lehner |
2- 3+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19380g |
Isogeny class |
Conductor |
19380 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
114177657600 = 28 · 32 · 52 · 172 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-329260,-72610808] |
[a1,a2,a3,a4,a6] |
j |
15420625400606408656/446006475 |
j-invariant |
L |
1.594427179726 |
L(r)(E,1)/r! |
Ω |
0.19930339746574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520cv2 58140c2 96900t2 |
Quadratic twists by: -4 -3 5 |