Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45472bb |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
-15526232512 = -1 · 26 · 73 · 294 |
Discriminant |
Eigenvalues |
2- 2 2 7- 4 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3922,96048] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:384:1] |
Generators of the group modulo torsion |
j |
-304006671424/707281 |
j-invariant |
L |
10.502484238292 |
L(r)(E,1)/r! |
Ω |
1.2453997559731 |
Real period |
R |
4.2165112799835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45472m1 90944ci1 45472bc1 |
Quadratic twists by: -4 8 -7 |