Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37536q |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
104960 |
Modular degree for the optimal curve |
Δ |
166972088245824 = 26 · 310 · 174 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24114,1308384] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:264:1] |
Generators of the group modulo torsion |
j |
24230898466406848/2608938878841 |
j-invariant |
L |
2.9068165002482 |
L(r)(E,1)/r! |
Ω |
0.55568442501396 |
Real period |
R |
5.2310562783445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37536g1 75072bk2 112608n1 |
Quadratic twists by: -4 8 -3 |