Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622n |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
432768 |
Modular degree for the optimal curve |
Δ |
-8135041452322176 = -1 · 27 · 37 · 78 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 5 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5724,-4337712] |
[a1,a2,a3,a4,a6] |
Generators |
[153:243:1] |
Generators of the group modulo torsion |
j |
4934783/1935744 |
j-invariant |
L |
3.2793919916431 |
L(r)(E,1)/r! |
Ω |
0.19436007814701 |
Real period |
R |
2.109095668695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20874bf1 62622be1 |
Quadratic twists by: -3 -7 |