Atkin-Lehner |
3+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6279c |
Isogeny class |
Conductor |
6279 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-6611787 = -1 · 35 · 7 · 132 · 23 |
Discriminant |
Eigenvalues |
0 3+ 2 7- 3 13- -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,13,-127] |
[a1,a2,a3,a4,a6] |
Generators |
[13:45:1] |
Generators of the group modulo torsion |
j |
224755712/6611787 |
j-invariant |
L |
3.4188022831865 |
L(r)(E,1)/r! |
Ω |
1.1452675229811 |
Real period |
R |
1.4925780285323 |
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 |
100464bt1 18837p1 43953r1 81627c1 |
Quadratic twists by: -4 -3 -7 13 |