Atkin-Lehner |
2- 3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35088i |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-51058988679168 = -1 · 217 · 36 · 172 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3848,-354576] |
[a1,a2,a3,a4,a6] |
Generators |
[106:646:1] [116:864:1] |
Generators of the group modulo torsion |
j |
-1538798703625/12465573408 |
j-invariant |
L |
7.4948851544171 |
L(r)(E,1)/r! |
Ω |
0.26684405789712 |
Real period |
R |
3.5108919107479 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4386g2 105264bm2 |
Quadratic twists by: -4 -3 |