Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27636m |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27216 |
Modular degree for the optimal curve |
Δ |
38219924736 = 28 · 33 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1829,-27999] |
[a1,a2,a3,a4,a6] |
j |
22478848/1269 |
j-invariant |
L |
2.1977293965209 |
L(r)(E,1)/r! |
Ω |
0.73257646550651 |
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 |
110544dv1 82908y1 564b1 |
Quadratic twists by: -4 -3 -7 |