Atkin-Lehner |
13+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
73853c |
Isogeny class |
Conductor |
73853 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
35212800 |
Modular degree for the optimal curve |
Δ |
-5.6523125333688E+20 |
Discriminant |
Eigenvalues |
0 0 -1 -1 3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17395454258,883083509495957] |
[a1,a2,a3,a4,a6] |
j |
-120606557357926050532382048256/117102469423771 |
j-invariant |
L |
1.4464994552689 |
L(r)(E,1)/r! |
Ω |
0.072324971511547 |
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 |
5681d1 |
Quadratic twists by: 13 |