Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
65600ce |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1050625000000 = -1 · 26 · 510 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -2 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8508,303238] |
[a1,a2,a3,a4,a6] |
Generators |
[57:82:1] |
Generators of the group modulo torsion |
j |
-68117264704/1050625 |
j-invariant |
L |
3.3143854843815 |
L(r)(E,1)/r! |
Ω |
0.87665730600758 |
Real period |
R |
1.8903541106004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600bz1 32800c2 13120bk1 |
Quadratic twists by: -4 8 5 |