Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622bd |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-3609208531664064 = -1 · 26 · 39 · 79 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 7 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21618,-3133292] |
[a1,a2,a3,a4,a6] |
j |
-13027640977/42081984 |
j-invariant |
L |
2.9022345207941 |
L(r)(E,1)/r! |
Ω |
0.18138965731018 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20874ba1 8946l1 |
Quadratic twists by: -3 -7 |