Atkin-Lehner |
3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128673a |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-167387952487293171 = -1 · 39 · 17 · 298 |
Discriminant |
Eigenvalues |
0 3+ 1 4 -1 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,90828,-16627201] |
[a1,a2,a3,a4,a6] |
Generators |
[1714161:31933966:6859] |
Generators of the group modulo torsion |
j |
7077888/14297 |
j-invariant |
L |
7.2035537365455 |
L(r)(E,1)/r! |
Ω |
0.16797948026541 |
Real period |
R |
5.3604416968451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128673c1 4437b1 |
Quadratic twists by: -3 29 |