Atkin-Lehner |
2+ 3+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
112338a |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4485936 |
Modular degree for the optimal curve |
Δ |
-3.3556019501037E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 3 3 -1 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1571562,-449536012] |
[a1,a2,a3,a4,a6] |
Generators |
[89330730655:4571481306994:44738875] |
Generators of the group modulo torsion |
j |
10479429/8192 |
j-invariant |
L |
7.59356945767 |
L(r)(E,1)/r! |
Ω |
0.095217691850801 |
Real period |
R |
13.291594083112 |
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 |
112338k1 112338b1 |
Quadratic twists by: -3 -79 |