Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119064q |
Isogeny class |
Conductor |
119064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
342720 |
Modular degree for the optimal curve |
Δ |
-502046214912 = -1 · 28 · 33 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11- 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69857,7130037] |
[a1,a2,a3,a4,a6] |
Generators |
[163:218:1] |
Generators of the group modulo torsion |
j |
-83131122688/1107 |
j-invariant |
L |
5.2815305674739 |
L(r)(E,1)/r! |
Ω |
0.84755286927305 |
Real period |
R |
3.115752868128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
984b1 |
Quadratic twists by: -11 |