Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39072n |
Isogeny class |
Conductor |
39072 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
Δ |
6.2670741761195E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-314398337,-2145798816945] |
[a1,a2,a3,a4,a6] |
Generators |
[360634374667:9061726712940:17373979] |
Generators of the group modulo torsion |
j |
839082157271345371360241728/1530047406279184551 |
j-invariant |
L |
8.8105104386003 |
L(r)(E,1)/r! |
Ω |
0.035853333597549 |
Real period |
R |
18.902888635335 |
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 |
39072c2 78144s1 117216r2 |
Quadratic twists by: -4 8 -3 |