Atkin-Lehner |
2- 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
41272m |
Isogeny class |
Conductor |
41272 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
3179520 |
Modular degree for the optimal curve |
Δ |
1.1220287809446E+21 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11- -3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36377327,-84445704574] |
[a1,a2,a3,a4,a6] |
Generators |
[-3493:3773:1] [17990:2254714:1] |
Generators of the group modulo torsion |
j |
332733166801722670156331008/70126798809039349069 |
j-invariant |
L |
9.038363483633 |
L(r)(E,1)/r! |
Ω |
0.061474831966393 |
Real period |
R |
0.81680793356341 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82544f1 |
Quadratic twists by: -4 |