Atkin-Lehner |
3- 5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35685c |
Isogeny class |
Conductor |
35685 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
187881525 = 36 · 52 · 132 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 6 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2940,-60625] |
[a1,a2,a3,a4,a6] |
Generators |
[70:235:1] |
Generators of the group modulo torsion |
j |
3855860066241/257725 |
j-invariant |
L |
7.0341484141104 |
L(r)(E,1)/r! |
Ω |
0.64834705088055 |
Real period |
R |
2.7123391725759 |
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 |
3965b2 |
Quadratic twists by: -3 |