Atkin-Lehner |
2+ 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256be |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
54815185152 = 28 · 32 · 72 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2724,-54468] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-546:1] [66:240:1] |
Generators of the group modulo torsion |
j |
8735031579472/214121817 |
j-invariant |
L |
11.334394486847 |
L(r)(E,1)/r! |
Ω |
0.66181010552457 |
Real period |
R |
2.1407943139932 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128y1 |
Quadratic twists by: -4 |