Atkin-Lehner |
2- 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
125248bb |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
340161544192 = 214 · 19 · 1033 |
Discriminant |
Eigenvalues |
2- 1 -2 -3 -6 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2129,-26065] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:103:1] |
Generators of the group modulo torsion |
j |
65168050768/20761813 |
j-invariant |
L |
2.8970710303368 |
L(r)(E,1)/r! |
Ω |
0.72049577459138 |
Real period |
R |
0.67015682651249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000205179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125248q1 31312i1 |
Quadratic twists by: -4 8 |