Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
20328r |
Isogeny class |
Conductor |
20328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-5165400344398930944 = -1 · 210 · 34 · 74 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- 1 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,229376,-100918244] |
[a1,a2,a3,a4,a6] |
Generators |
[12670:1427076:1] |
Generators of the group modulo torsion |
j |
50250332/194481 |
j-invariant |
L |
5.2945854819256 |
L(r)(E,1)/r! |
Ω |
0.12290174668949 |
Real period |
R |
5.3849778629494 |
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 |
40656bc1 60984bb1 20328c1 |
Quadratic twists by: -4 -3 -11 |