Atkin-Lehner |
3- 5- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42735q |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-3.2674973217158E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2397,-275020727] |
[a1,a2,a3,a4,a6] |
Generators |
[1049:29175:1] |
Generators of the group modulo torsion |
j |
1524011478638039/32674973217157569375 |
j-invariant |
L |
8.9056950021693 |
L(r)(E,1)/r! |
Ω |
0.095291987283685 |
Real period |
R |
2.2251646044832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128205u1 |
Quadratic twists by: -3 |