Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6566i |
Isogeny class |
Conductor |
6566 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
692145067264 = 28 · 79 · 67 |
Discriminant |
Eigenvalues |
2- 1 1 7- -4 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2745,38009] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1307:1] |
Generators of the group modulo torsion |
j |
19443408769/5883136 |
j-invariant |
L |
7.0393909843745 |
L(r)(E,1)/r! |
Ω |
0.83964227739775 |
Real period |
R |
0.26199367776415 |
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 |
52528bp1 59094u1 938c1 |
Quadratic twists by: -4 -3 -7 |