Atkin-Lehner |
2+ 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
125248q |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
2 |
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] |
j |
65168050768/20761813 |
j-invariant |
L |
1.7757790772629 |
L(r)(E,1)/r! |
Ω |
0.88789062325601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125248bb1 15656b1 |
Quadratic twists by: -4 8 |