Atkin-Lehner |
2- 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
41272n |
Isogeny class |
Conductor |
41272 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
2180069584 = 24 · 75 · 112 · 67 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11- 5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2707,55076] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:77:1] [25:-49:1] |
Generators of the group modulo torsion |
j |
137160456153088/136254349 |
j-invariant |
L |
6.7669101296005 |
L(r)(E,1)/r! |
Ω |
1.456002643082 |
Real period |
R |
0.23237973370974 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82544e1 |
Quadratic twists by: -4 |