Atkin-Lehner |
2+ 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19890l |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-189309519360000 = -1 · 212 · 39 · 54 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14220,-114224] |
[a1,a2,a3,a4,a6] |
j |
436192097814719/259683840000 |
j-invariant |
L |
2.6510914598356 |
L(r)(E,1)/r! |
Ω |
0.33138643247945 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630s1 99450co1 |
Quadratic twists by: -3 5 |