Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576dw |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
20984832 = 210 · 34 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-349,2387] |
[a1,a2,a3,a4,a6] |
Generators |
[14:21:1] |
Generators of the group modulo torsion |
j |
4604090368/20493 |
j-invariant |
L |
6.5892151553061 |
L(r)(E,1)/r! |
Ω |
2.1657247291083 |
Real period |
R |
1.5212494613801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576d1 12144b1 |
Quadratic twists by: -4 8 |