Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440dg |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-419232153600 = -1 · 216 · 39 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,-33264] |
[a1,a2,a3,a4,a6] |
Generators |
[285:4779:1] |
Generators of the group modulo torsion |
j |
-78732/325 |
j-invariant |
L |
6.3589005639762 |
L(r)(E,1)/r! |
Ω |
0.3895397283194 |
Real period |
R |
4.0810346812439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440o1 9360c1 37440cw1 |
Quadratic twists by: -4 8 -3 |