Atkin-Lehner |
3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47481s |
Isogeny class |
Conductor |
47481 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
46805866284051 = 33 · 710 · 17 · 192 |
Discriminant |
Eigenvalues |
-1 3- -1 7- 0 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38466,-2888271] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:117:1] |
Generators of the group modulo torsion |
j |
22283073841/165699 |
j-invariant |
L |
4.2316187978478 |
L(r)(E,1)/r! |
Ω |
0.34105539582249 |
Real period |
R |
2.067903948385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47481a1 |
Quadratic twists by: -7 |