Atkin-Lehner |
3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36309g |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
37671056503353 = 33 · 77 · 13 · 194 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-642464,197940387] |
[a1,a2,a3,a4,a6] |
Generators |
[36506022:66535799:74088] |
Generators of the group modulo torsion |
j |
249277408000169977/320198697 |
j-invariant |
L |
6.7142748767089 |
L(r)(E,1)/r! |
Ω |
0.54946062414817 |
Real period |
R |
12.219756214774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108927w4 5187d3 |
Quadratic twists by: -3 -7 |