Atkin-Lehner |
3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
20727b |
Isogeny class |
Conductor |
20727 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-961504803 = -1 · 33 · 73 · 473 |
Discriminant |
Eigenvalues |
2 3+ 0 7- 5 -6 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,105,1433] |
[a1,a2,a3,a4,a6] |
j |
13824000/103823 |
j-invariant |
L |
4.5672323758389 |
L(r)(E,1)/r! |
Ω |
1.1418080939597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20727g1 20727f1 |
Quadratic twists by: -3 -7 |