Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bg |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17418240 |
Modular degree for the optimal curve |
Δ |
5.9340949962827E+24 |
Discriminant |
Eigenvalues |
1 3- -1 7- -2 -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68825115,-185892852258] |
[a1,a2,a3,a4,a6] |
Generators |
[-359864381875416790638:14771262337858540246020:82289602518636079] |
Generators of the group modulo torsion |
j |
7253758561/1193859 |
j-invariant |
L |
6.5334500454993 |
L(r)(E,1)/r! |
Ω |
0.05300107705823 |
Real period |
R |
30.817534322563 |
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 |
42483u1 127449t1 7497n1 |
Quadratic twists by: -3 -7 17 |