Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694a |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
13547520 |
Modular degree for the optimal curve |
Δ |
-2.5641587414734E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7955165,-22777633523] |
[a1,a2,a3,a4,a6] |
Generators |
[35079819559:2264661539677:9393931] |
Generators of the group modulo torsion |
j |
8666286316805125/39912298463232 |
j-invariant |
L |
4.0603925299787 |
L(r)(E,1)/r! |
Ω |
0.049621232185562 |
Real period |
R |
10.228465526037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122694bq1 9438r1 |
Quadratic twists by: -11 13 |