Atkin-Lehner |
5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
3535a |
Isogeny class |
Conductor |
3535 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17952 |
Modular degree for the optimal curve |
Δ |
-3120468766296875 = -1 · 56 · 711 · 101 |
Discriminant |
Eigenvalues |
-1 1 5- 7+ 4 -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,24475,-2245468] |
[a1,a2,a3,a4,a6] |
j |
1621402000530404399/3120468766296875 |
j-invariant |
L |
1.4078422383452 |
L(r)(E,1)/r! |
Ω |
0.23464037305753 |
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 |
56560t1 31815e1 17675d1 24745d1 |
Quadratic twists by: -4 -3 5 -7 |