Atkin-Lehner |
7- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
54439h |
Isogeny class |
Conductor |
54439 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
3452130018029 = 710 · 112 · 101 |
Discriminant |
Eigenvalues |
2 2 1 7- 11- 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1411510,645937739] |
[a1,a2,a3,a4,a6] |
j |
2643550782660849664/29342621 |
j-invariant |
L |
8.8968114171246 |
L(r)(E,1)/r! |
Ω |
0.55605071371663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7777c1 |
Quadratic twists by: -7 |