Atkin-Lehner |
3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
20727g |
Isogeny class |
Conductor |
20727 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-700937001387 = -1 · 39 · 73 · 473 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- -5 -6 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,945,-38698] |
[a1,a2,a3,a4,a6] |
Generators |
[72:634:1] |
Generators of the group modulo torsion |
j |
13824000/103823 |
j-invariant |
L |
1.8933319543894 |
L(r)(E,1)/r! |
Ω |
0.44970121453344 |
Real period |
R |
0.3508499816472 |
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 |
20727b1 20727d1 |
Quadratic twists by: -3 -7 |