Atkin-Lehner |
2+ 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
6942d |
Isogeny class |
Conductor |
6942 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-5829947136 = -1 · 28 · 39 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 3 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-508,5690] |
[a1,a2,a3,a4,a6] |
Generators |
[1:71:1] |
Generators of the group modulo torsion |
j |
-14457238157881/5829947136 |
j-invariant |
L |
3.6310356528535 |
L(r)(E,1)/r! |
Ω |
1.2650978482348 |
Real period |
R |
0.15945343928754 |
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 |
55536q1 20826ba1 90246v1 |
Quadratic twists by: -4 -3 13 |