Atkin-Lehner |
11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
49379d |
Isogeny class |
Conductor |
49379 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
33660 |
Modular degree for the optimal curve |
Δ |
-722957939 = -1 · 115 · 672 |
Discriminant |
Eigenvalues |
0 -3 -1 -4 11- 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-268,2127] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:60:1] |
Generators of the group modulo torsion |
j |
-474218496/161051 |
j-invariant |
L |
1.8986782919772 |
L(r)(E,1)/r! |
Ω |
1.5136742330483 |
Real period |
R |
0.2508701344732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49379a1 |
Quadratic twists by: -67 |