Atkin-Lehner |
3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19665x |
Isogeny class |
Conductor |
19665 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2291520 |
Modular degree for the optimal curve |
Δ |
-1.3274995338689E+19 |
Discriminant |
Eigenvalues |
0 3- 5- 4 -3 7 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-118682382,497654025957] |
[a1,a2,a3,a4,a6] |
j |
-253603326794038661309169664/18209870149092795 |
j-invariant |
L |
2.3805076604414 |
L(r)(E,1)/r! |
Ω |
0.1700362614601 |
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 |
6555l1 98325br1 |
Quadratic twists by: -3 5 |