Atkin-Lehner |
2- 7- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
124432o |
Isogeny class |
Conductor |
124432 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
5056128 |
Modular degree for the optimal curve |
Δ |
-7.3431970372112E+20 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 11- -4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6354043,-6301216854] |
[a1,a2,a3,a4,a6] |
j |
-6926505967539262372689/179277271416288584 |
j-invariant |
L |
1.0443981056838 |
L(r)(E,1)/r! |
Ω |
0.047472637614032 |
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 |
15554d1 |
Quadratic twists by: -4 |