Atkin-Lehner |
2- 3+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622bi |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-2896985723240448 = -1 · 218 · 33 · 78 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36980,3777239] |
[a1,a2,a3,a4,a6] |
j |
-35930671875/18612224 |
j-invariant |
L |
5.0476063824754 |
L(r)(E,1)/r! |
Ω |
0.42063386515255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62622a2 62622bk1 |
Quadratic twists by: -3 -7 |