Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100cp |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
101311230431250000 = 24 · 39 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-676200,213474625] |
[a1,a2,a3,a4,a6] |
Generators |
[-889:10584:1] [630:-6125:1] |
Generators of the group modulo torsion |
j |
1594753024/4725 |
j-invariant |
L |
8.8251697134974 |
L(r)(E,1)/r! |
Ω |
0.33729470364816 |
Real period |
R |
0.54509513602193 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bk1 8820s1 6300k1 |
Quadratic twists by: -3 5 -7 |