Atkin-Lehner |
2+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
6622f |
Isogeny class |
Conductor |
6622 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-4197688489962352 = -1 · 24 · 73 · 112 · 436 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1166096,484586382] |
[a1,a2,a3,a4,a6] |
Generators |
[-1075:22811:1] |
Generators of the group modulo torsion |
j |
-175358205925209173301625/4197688489962352 |
j-invariant |
L |
1.8948694978883 |
L(r)(E,1)/r! |
Ω |
0.40575028032405 |
Real period |
R |
2.3350193330428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
52976r1 59598bh1 46354i1 72842k1 |
Quadratic twists by: -4 -3 -7 -11 |