Atkin-Lehner |
2+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24752g |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
54656 |
Modular degree for the optimal curve |
Δ |
-259973631776768 = -1 · 211 · 7 · 137 · 172 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ -3 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-824,776080] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:676:1] [-24:884:1] |
Generators of the group modulo torsion |
j |
-30248395634/126940249891 |
j-invariant |
L |
5.7548144152768 |
L(r)(E,1)/r! |
Ω |
0.44323030426983 |
Real period |
R |
0.23185360328477 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12376f1 99008bo1 |
Quadratic twists by: -4 8 |