Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660bo |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
43182720 |
Modular degree for the optimal curve |
Δ |
-2.649663491344E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,282555168,-1670773411244] |
[a1,a2,a3,a4,a6] |
Generators |
[461237:313451775:1] |
Generators of the group modulo torsion |
j |
2318898093666861056/2462855365546875 |
j-invariant |
L |
7.6858974645635 |
L(r)(E,1)/r! |
Ω |
0.024652934814887 |
Real period |
R |
1.2371587122266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38220s1 114660x1 |
Quadratic twists by: -3 -7 |