Atkin-Lehner |
3+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6279d |
Isogeny class |
Conductor |
6279 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
123589557 = 310 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
0 3+ -2 7- -3 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-189,911] |
[a1,a2,a3,a4,a6] |
Generators |
[27:121:1] |
Generators of the group modulo torsion |
j |
750593769472/123589557 |
j-invariant |
L |
2.1983252626645 |
L(r)(E,1)/r! |
Ω |
1.775871044366 |
Real period |
R |
0.61894281953601 |
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 |
100464bw1 18837o1 43953q1 81627b1 |
Quadratic twists by: -4 -3 -7 13 |