Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490bi |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
39926250 = 2 · 33 · 54 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-199,1016] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:38:1] |
Generators of the group modulo torsion |
j |
5119826881/236250 |
j-invariant |
L |
4.4835132758831 |
L(r)(E,1)/r! |
Ω |
2.0195683319283 |
Real period |
R |
0.3700059071206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470gg1 35490do1 |
Quadratic twists by: -3 13 |