Atkin-Lehner |
3- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
20445g |
Isogeny class |
Conductor |
20445 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
145938965625 = 36 · 55 · 29 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 2 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1465,11192] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:113:1] |
Generators of the group modulo torsion |
j |
347740371686161/145938965625 |
j-invariant |
L |
4.3824153638171 |
L(r)(E,1)/r! |
Ω |
0.93217346084218 |
Real period |
R |
0.31341916126911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61335d1 102225e1 |
Quadratic twists by: -3 5 |