Atkin-Lehner |
2+ 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
43610b |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
16033352781250000 = 24 · 59 · 78 · 89 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ -3 3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-631570,-192934204] |
[a1,a2,a3,a4,a6] |
j |
4832860466545209/2781250000 |
j-invariant |
L |
3.0484681066566 |
L(r)(E,1)/r! |
Ω |
0.16935933925153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43610l1 |
Quadratic twists by: -7 |