Atkin-Lehner |
2+ 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6890d |
Isogeny class |
Conductor |
6890 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-55120 = -1 · 24 · 5 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -5 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-133,576] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-6:1] |
Generators of the group modulo torsion |
j |
-257380823881/55120 |
j-invariant |
L |
1.7466547123792 |
L(r)(E,1)/r! |
Ω |
3.4390727600577 |
Real period |
R |
0.25394268080998 |
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 |
55120r1 62010bn1 34450t1 89570u1 |
Quadratic twists by: -4 -3 5 13 |