Atkin-Lehner |
3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
20727n |
Isogeny class |
Conductor |
20727 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-1553140042587 = -1 · 315 · 72 · 472 |
Discriminant |
Eigenvalues |
0 3- 2 7- 2 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-714,60408] |
[a1,a2,a3,a4,a6] |
j |
-1126924288/43479747 |
j-invariant |
L |
2.8173444849798 |
L(r)(E,1)/r! |
Ω |
0.70433612124496 |
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 |
6909g1 20727i1 |
Quadratic twists by: -3 -7 |