Atkin-Lehner |
2- 3- 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410bl |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1089792 |
Modular degree for the optimal curve |
Δ |
-211188051659980800 = -1 · 233 · 36 · 52 · 19 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61907,22906739] |
[a1,a2,a3,a4,a6] |
Generators |
[-261:4738:1] |
Generators of the group modulo torsion |
j |
-35992240580216809/289695544115200 |
j-invariant |
L |
12.260754782482 |
L(r)(E,1)/r! |
Ω |
0.27094719648653 |
Real period |
R |
0.34281405152695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999731361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13490a1 |
Quadratic twists by: -3 |