Atkin-Lehner |
2- 3+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744r |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
6227712 = 28 · 33 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 0 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-231,1346] |
[a1,a2,a3,a4,a6] |
Generators |
[10:6:1] |
Generators of the group modulo torsion |
j |
197222256/901 |
j-invariant |
L |
6.1130788069554 |
L(r)(E,1)/r! |
Ω |
2.3965771213222 |
Real period |
R |
1.2753770513475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998074909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32436b1 129744n1 |
Quadratic twists by: -4 -3 |