Atkin-Lehner |
3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103935n |
Isogeny class |
Conductor |
103935 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-583833222921195 = -1 · 33 · 5 · 137 · 413 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-90640,10537336] |
[a1,a2,a3,a4,a6] |
Generators |
[173:-254:1] |
Generators of the group modulo torsion |
j |
-17061927030784/120956355 |
j-invariant |
L |
4.3011308992905 |
L(r)(E,1)/r! |
Ω |
0.51924216784979 |
Real period |
R |
1.3805796201311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999307479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7995h1 |
Quadratic twists by: 13 |