Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360ds |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-2562876950301360 = -1 · 24 · 38 · 5 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13459,2355900] |
[a1,a2,a3,a4,a6] |
Generators |
[-33068:134156:343] |
Generators of the group modulo torsion |
j |
143225913344/1361505915 |
j-invariant |
L |
5.3831301142218 |
L(r)(E,1)/r! |
Ω |
0.33502453965958 |
Real period |
R |
8.0339340350192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340bf1 18480cx1 |
Quadratic twists by: -4 -7 |