Atkin-Lehner |
2+ 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62160g |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1209058744320 = 211 · 32 · 5 · 7 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13896,-623664] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:34:1] [-67:46:1] |
Generators of the group modulo torsion |
j |
144908689531538/590360715 |
j-invariant |
L |
8.5159272812964 |
L(r)(E,1)/r! |
Ω |
0.43982603482942 |
Real period |
R |
9.6810177285227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080i4 |
Quadratic twists by: -4 |