Atkin-Lehner |
3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35217f |
Isogeny class |
Conductor |
35217 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5609361611763 = 38 · 76 · 132 · 43 |
Discriminant |
Eigenvalues |
1 3- 0 7- 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4572,-33143] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:197:1] |
Generators of the group modulo torsion |
j |
14500009266625/7694597547 |
j-invariant |
L |
7.2098938122239 |
L(r)(E,1)/r! |
Ω |
0.6165845406606 |
Real period |
R |
0.97443974788647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11739d2 |
Quadratic twists by: -3 |