Atkin-Lehner |
2+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59248a |
Isogeny class |
Conductor |
59248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-1300612096 = -1 · 210 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ 0 -1 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,253,-782] |
[a1,a2,a3,a4,a6] |
Generators |
[3:2:1] [18:98:1] |
Generators of the group modulo torsion |
j |
3306204/2401 |
j-invariant |
L |
10.012061499774 |
L(r)(E,1)/r! |
Ω |
0.85812202131657 |
Real period |
R |
2.9168525137079 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29624g1 59248j1 |
Quadratic twists by: -4 -23 |