Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362w |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.3004294385241E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1997939,937516961] |
[a1,a2,a3,a4,a6] |
Generators |
[8493:-776690:1] |
Generators of the group modulo torsion |
j |
993802845830257/146526652944 |
j-invariant |
L |
5.2990187331359 |
L(r)(E,1)/r! |
Ω |
0.17757097556912 |
Real period |
R |
7.4604235238223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121086e2 1302o2 |
Quadratic twists by: -3 -31 |