Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520ec |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
11650189824000 = 212 · 36 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7227,170154] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:630:1] |
Generators of the group modulo torsion |
j |
13980103929/3901625 |
j-invariant |
L |
7.5906288549855 |
L(r)(E,1)/r! |
Ω |
0.66686112618714 |
Real period |
R |
0.47427596222378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4095j1 7280q1 |
Quadratic twists by: -4 -3 |