Atkin-Lehner |
3+ 5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
35955c |
Isogeny class |
Conductor |
35955 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
25348275 = 33 · 52 · 17 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-287,1924] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:47:1] |
Generators of the group modulo torsion |
j |
96513090003/938825 |
j-invariant |
L |
3.7134774561258 |
L(r)(E,1)/r! |
Ω |
2.130959983259 |
Real period |
R |
0.87131562424913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35955a2 |
Quadratic twists by: -3 |