Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414cl |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
Δ |
-8.8113238743837E+28 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-826497716,16959192808983] |
[a1,a2,a3,a4,a6] |
Generators |
[9957:3112205:1] |
Generators of the group modulo torsion |
j |
-42484640023394137/59954864062464 |
j-invariant |
L |
10.672529055575 |
L(r)(E,1)/r! |
Ω |
0.030613441606275 |
Real period |
R |
4.1502657219116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138c2 36414db2 |
Quadratic twists by: -3 17 |