Atkin-Lehner |
3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37275a |
Isogeny class |
Conductor |
37275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24811171875 = 32 · 57 · 7 · 712 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-211722000,-1185849039375] |
[a1,a2,a3,a4,a6] |
Generators |
[-1342033992997258556482514760502523182:671016313780234862001815491304113113:159742180686712495219273107585208] |
Generators of the group modulo torsion |
j |
67174068503146616866955521/1587915 |
j-invariant |
L |
3.9307050006699 |
L(r)(E,1)/r! |
Ω |
0.039578383965681 |
Real period |
R |
49.657219507466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111825p6 7455g5 |
Quadratic twists by: -3 5 |