Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456n |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1182306718973952 = -1 · 226 · 36 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23007,958113] |
[a1,a2,a3,a4,a6] |
j |
5137417856375/4510142208 |
j-invariant |
L |
0.63385192731214 |
L(r)(E,1)/r! |
Ω |
0.31692596365606 |
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 |
27456by1 858b1 82368s1 |
Quadratic twists by: -4 8 -3 |