Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472p |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
746380315072 = 26 · 79 · 172 |
Discriminant |
Eigenvalues |
2+ -3 0 7+ -2 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2635,31348] |
[a1,a2,a3,a4,a6] |
Generators |
[98:241:8] |
Generators of the group modulo torsion |
j |
109392552000/40353607 |
j-invariant |
L |
4.303057484153 |
L(r)(E,1)/r! |
Ω |
0.82285056443693 |
Real period |
R |
5.22945231085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999992992751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472bh1 64736o1 129472br1 |
Quadratic twists by: -4 8 17 |