Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6732d |
Isogeny class |
Conductor |
6732 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-593277696 = -1 · 28 · 36 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11- -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4464,114804] |
[a1,a2,a3,a4,a6] |
Generators |
[37:17:1] |
Generators of the group modulo torsion |
j |
-52714340352/3179 |
j-invariant |
L |
3.0212710679476 |
L(r)(E,1)/r! |
Ω |
1.5453233481429 |
Real period |
R |
0.97755303819696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26928bm1 107712bt1 748a1 74052n1 |
Quadratic twists by: -4 8 -3 -11 |