Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41574t |
Isogeny class |
Conductor |
41574 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
46800 |
Modular degree for the optimal curve |
Δ |
-10686555126 = -1 · 2 · 33 · 136 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 6 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-257,5199] |
[a1,a2,a3,a4,a6] |
j |
-389017/2214 |
j-invariant |
L |
3.3240045149341 |
L(r)(E,1)/r! |
Ω |
1.1080015050142 |
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 |
124722o1 246f1 |
Quadratic twists by: -3 13 |