Atkin-Lehner |
2- 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
113398f |
Isogeny class |
Conductor |
113398 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
12026880 |
Modular degree for the optimal curve |
Δ |
-6.7539127393367E+21 |
Discriminant |
Eigenvalues |
2- 2 0 -1 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38654323,-92601318095] |
[a1,a2,a3,a4,a6] |
Generators |
[1550778:102857:216] |
Generators of the group modulo torsion |
j |
-7196938041625152625/7610010959872 |
j-invariant |
L |
15.421811990817 |
L(r)(E,1)/r! |
Ω |
0.030272096996914 |
Real period |
R |
9.4340709579939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3658d1 |
Quadratic twists by: -31 |