Atkin-Lehner |
3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
20727d |
Isogeny class |
Conductor |
20727 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-82464537276179163 = -1 · 39 · 79 · 473 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- -5 6 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,46305,13273328] |
[a1,a2,a3,a4,a6] |
j |
13824000/103823 |
j-invariant |
L |
0.99665181327306 |
L(r)(E,1)/r! |
Ω |
0.24916295331827 |
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 |
20727f1 20727g1 |
Quadratic twists by: -3 -7 |