Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622bn |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
395136 |
Modular degree for the optimal curve |
Δ |
-1579028732603028 = -1 · 22 · 39 · 710 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 2 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4052,1915435] |
[a1,a2,a3,a4,a6] |
Generators |
[-970:6745:8] |
Generators of the group modulo torsion |
j |
-1323/284 |
j-invariant |
L |
7.969691460395 |
L(r)(E,1)/r! |
Ω |
0.38775282449289 |
Real period |
R |
5.1383838857066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62622i1 62622bj1 |
Quadratic twists by: -3 -7 |