Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27300o |
Isogeny class |
Conductor |
27300 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-83880060468750000 = -1 · 24 · 33 · 510 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,103467,5518188] |
[a1,a2,a3,a4,a6] |
j |
489987585867776/335520241875 |
j-invariant |
L |
3.8759709078403 |
L(r)(E,1)/r! |
Ω |
0.21533171710224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200eb1 81900s1 5460a1 |
Quadratic twists by: -4 -3 5 |