Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12789f |
Isogeny class |
Conductor |
12789 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.5796428158105E+21 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5748003,4949006040] |
[a1,a2,a3,a4,a6] |
Generators |
[-786677395140:381578950633455:4982686912] |
Generators of the group modulo torsion |
j |
244883173420511137/18418027974129 |
j-invariant |
L |
4.3975307325534 |
L(r)(E,1)/r! |
Ω |
0.14713139960076 |
Real period |
R |
14.944229255231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4263g4 1827b4 |
Quadratic twists by: -3 -7 |