Atkin-Lehner |
2+ 5- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6890f |
Isogeny class |
Conductor |
6890 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-116441000 = -1 · 23 · 53 · 133 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 0 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,52,-494] |
[a1,a2,a3,a4,a6] |
Generators |
[190:2527:1] |
Generators of the group modulo torsion |
j |
15983964359/116441000 |
j-invariant |
L |
3.9034132310419 |
L(r)(E,1)/r! |
Ω |
0.92950285741108 |
Real period |
R |
4.1994634012357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55120t1 62010bs1 34450o1 89570o1 |
Quadratic twists by: -4 -3 5 13 |