Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502cf |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-11586761329042944 = -1 · 29 · 39 · 117 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13091,5214179] |
[a1,a2,a3,a4,a6] |
Generators |
[201:3166:1] |
Generators of the group modulo torsion |
j |
-192100033/8971776 |
j-invariant |
L |
13.730224304125 |
L(r)(E,1)/r! |
Ω |
0.33407726850763 |
Real period |
R |
0.28540935834243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000109933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42834s1 11682l1 |
Quadratic twists by: -3 -11 |