Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960g |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6488064 |
Modular degree for the optimal curve |
Δ |
-2.3450651371313E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2092900,-7458662048] |
[a1,a2,a3,a4,a6] |
Generators |
[181940075496221:-27187192884279240:8108486729] |
Generators of the group modulo torsion |
j |
-26752376766544/618796614375 |
j-invariant |
L |
6.8754422811473 |
L(r)(E,1)/r! |
Ω |
0.051932990552662 |
Real period |
R |
16.548831236485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998706285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63480t1 5520a1 |
Quadratic twists by: -4 -23 |