Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119064f |
Isogeny class |
Conductor |
119064 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
-1815684777418076928 = -1 · 28 · 39 · 118 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 11- -6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,257327,-40885165] |
[a1,a2,a3,a4,a6] |
Generators |
[887:29766:1] |
Generators of the group modulo torsion |
j |
34339712000/33087123 |
j-invariant |
L |
5.9112509921926 |
L(r)(E,1)/r! |
Ω |
0.14417807169504 |
Real period |
R |
0.18981321183514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999550551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119064w1 |
Quadratic twists by: -11 |