Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622bt |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
17895363696 = 24 · 38 · 74 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 4 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-671,-1641] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:72:1] |
Generators of the group modulo torsion |
j |
19061833/10224 |
j-invariant |
L |
12.904726254574 |
L(r)(E,1)/r! |
Ω |
0.99815525358822 |
Real period |
R |
0.538690674971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20874c1 62622cg1 |
Quadratic twists by: -3 -7 |