Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
27636q |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31536 |
Modular degree for the optimal curve |
Δ |
-4073325312 = -1 · 28 · 3 · 74 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -6 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7317,238503] |
[a1,a2,a3,a4,a6] |
j |
-70493667328/6627 |
j-invariant |
L |
2.6584973337977 |
L(r)(E,1)/r! |
Ω |
1.329248666899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544bt1 82908k1 27636f1 |
Quadratic twists by: -4 -3 -7 |