Atkin-Lehner |
5- 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
104975p |
Isogeny class |
Conductor |
104975 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
892800 |
Modular degree for the optimal curve |
Δ |
-115759942873046875 = -1 · 59 · 133 · 175 · 19 |
Discriminant |
Eigenvalues |
1 0 5- 4 5 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35867,-16568084] |
[a1,a2,a3,a4,a6] |
j |
-2612676520917/59269090751 |
j-invariant |
L |
4.3113293384621 |
L(r)(E,1)/r! |
Ω |
0.14371098467932 |
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 |
104975k1 |
Quadratic twists by: 5 |