Atkin-Lehner |
3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
30603b |
Isogeny class |
Conductor |
30603 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1142400 |
Modular degree for the optimal curve |
Δ |
5.1279901529319E+20 |
Discriminant |
Eigenvalues |
0 3+ -3 0 2 -3 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2012997,-145641283] |
[a1,a2,a3,a4,a6] |
Generators |
[292605:-11154856:125] |
Generators of the group modulo torsion |
j |
849816322048/483079869 |
j-invariant |
L |
1.7584272343722 |
L(r)(E,1)/r! |
Ω |
0.13693607795065 |
Real period |
R |
1.6051533502787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91809e1 303a1 |
Quadratic twists by: -3 101 |