Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520by |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
39265454592000 = 212 · 33 · 53 · 75 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2101083,1172230218] |
[a1,a2,a3,a4,a6] |
Generators |
[831:-294:1] |
Generators of the group modulo torsion |
j |
9275335480470938787/355047875 |
j-invariant |
L |
4.811741404274 |
L(r)(E,1)/r! |
Ω |
0.47870616219229 |
Real period |
R |
0.50257775905615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4095a1 65520ci1 |
Quadratic twists by: -4 -3 |