Atkin-Lehner |
2+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
71200g |
Isogeny class |
Conductor |
71200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-17624225000000000 = -1 · 29 · 511 · 893 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 -5 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,64592,956188] |
[a1,a2,a3,a4,a6] |
j |
3725316686008/2203028125 |
j-invariant |
L |
2.8410717115486 |
L(r)(E,1)/r! |
Ω |
0.23675597897061 |
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 |
71200n1 14240m1 |
Quadratic twists by: -4 5 |