Atkin-Lehner |
5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14945f |
Isogeny class |
Conductor |
14945 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
490587138671875 = 510 · 77 · 61 |
Discriminant |
Eigenvalues |
1 1 5- 7- 5 -2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20753,432373] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:1275:1] |
Generators of the group modulo torsion |
j |
8401330071289/4169921875 |
j-invariant |
L |
7.2241048907738 |
L(r)(E,1)/r! |
Ω |
0.46454131064902 |
Real period |
R |
0.77755247220971 |
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 |
74725f1 2135d1 |
Quadratic twists by: 5 -7 |