Atkin-Lehner |
2- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6890m |
Isogeny class |
Conductor |
6890 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
2464 |
Modular degree for the optimal curve |
Δ |
-7055360 = -1 · 211 · 5 · 13 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 6 13- -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,39,103] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:8:1] |
Generators of the group modulo torsion |
j |
6549699311/7055360 |
j-invariant |
L |
4.2832876842624 |
L(r)(E,1)/r! |
Ω |
1.5646957852932 |
Real period |
R |
0.24885974202675 |
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 |
55120k1 62010ba1 34450c1 89570i1 |
Quadratic twists by: -4 -3 5 13 |