Atkin-Lehner |
5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6175j |
Isogeny class |
Conductor |
6175 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-5217875 = -1 · 53 · 133 · 19 |
Discriminant |
Eigenvalues |
1 3 5- 1 2 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52,-169] |
[a1,a2,a3,a4,a6] |
j |
-125751501/41743 |
j-invariant |
L |
5.2405400232981 |
L(r)(E,1)/r! |
Ω |
0.87342333721635 |
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 |
98800da1 55575bk1 6175f1 80275u1 |
Quadratic twists by: -4 -3 5 13 |