Atkin-Lehner |
3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36309ba |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-38291991534376671 = -1 · 3 · 77 · 138 · 19 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,75116,5090399] |
[a1,a2,a3,a4,a6] |
Generators |
[46:2917:1] |
Generators of the group modulo torsion |
j |
398412054846287/325476557679 |
j-invariant |
L |
3.6403629809968 |
L(r)(E,1)/r! |
Ω |
0.23536148196572 |
Real period |
R |
3.8667786149538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108927ba3 5187b4 |
Quadratic twists by: -3 -7 |