Atkin-Lehner |
2+ 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
112338g |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8985600 |
Modular degree for the optimal curve |
Δ |
1.4679696632353E+22 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -2 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23592150,43725160692] |
[a1,a2,a3,a4,a6] |
Generators |
[-3524:290018:1] |
Generators of the group modulo torsion |
j |
8194759433281/82837504 |
j-invariant |
L |
2.7034772590793 |
L(r)(E,1)/r! |
Ω |
0.12539640049768 |
Real period |
R |
5.3898622603757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998245287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12482g1 1422b1 |
Quadratic twists by: -3 -79 |