Atkin-Lehner |
2+ 3- 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
39858i |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-17577378 = -1 · 2 · 33 · 73 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-421,3290] |
[a1,a2,a3,a4,a6] |
Generators |
[6:28:1] |
Generators of the group modulo torsion |
j |
-8224059831625/17577378 |
j-invariant |
L |
5.4694743197553 |
L(r)(E,1)/r! |
Ω |
2.1906796814963 |
Real period |
R |
2.4967019897782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
119574bj1 |
Quadratic twists by: -3 |