Atkin-Lehner |
2- 3+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
27192d |
Isogeny class |
Conductor |
27192 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
403392 |
Modular degree for the optimal curve |
Δ |
-180554355136100352 = -1 · 211 · 3 · 1111 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 11+ 2 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29776,-20529332] |
[a1,a2,a3,a4,a6] |
j |
-1425631925916578/88161306218799 |
j-invariant |
L |
3.5217246631465 |
L(r)(E,1)/r! |
Ω |
0.14086898652585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54384g1 81576g1 |
Quadratic twists by: -4 -3 |