Atkin-Lehner |
2+ 3- 7+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
39858g |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
12519360 |
Modular degree for the optimal curve |
Δ |
-1.5761849961332E+24 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 0 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-93280923,-351995994458] |
[a1,a2,a3,a4,a6] |
Generators |
[80300:22541718:1] |
Generators of the group modulo torsion |
j |
-89764002583863260469672560041/1576184996133189533564928 |
j-invariant |
L |
3.1765330922393 |
L(r)(E,1)/r! |
Ω |
0.024264357785931 |
Real period |
R |
6.2339783281001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119574ba1 |
Quadratic twists by: -3 |