Atkin-Lehner |
3+ 5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
35955d |
Isogeny class |
Conductor |
35955 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7373089646832796875 = 39 · 56 · 173 · 474 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 -6 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-552152,-88581896] |
[a1,a2,a3,a4,a6] |
Generators |
[-463:8456:1] |
Generators of the group modulo torsion |
j |
945818122369543227/374591761765625 |
j-invariant |
L |
3.5248463881357 |
L(r)(E,1)/r! |
Ω |
0.18120595606916 |
Real period |
R |
1.6210129367887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35955b2 |
Quadratic twists by: -3 |