Atkin-Lehner |
2- 3- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
36888g |
Isogeny class |
Conductor |
36888 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
421824 |
Modular degree for the optimal curve |
Δ |
-527577347402496 = -1 · 28 · 313 · 293 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 1 4 -3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1570529,-758084589] |
[a1,a2,a3,a4,a6] |
Generators |
[1741:42282:1] |
Generators of the group modulo torsion |
j |
-1673485307018355991552/2060849013291 |
j-invariant |
L |
6.9559341667705 |
L(r)(E,1)/r! |
Ω |
0.067430753679931 |
Real period |
R |
1.3225218212304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73776b1 110664d1 |
Quadratic twists by: -4 -3 |