Atkin-Lehner |
2+ 3+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55536b |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-225120330444552192 = -1 · 211 · 39 · 137 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-703472,228479712] |
[a1,a2,a3,a4,a6] |
Generators |
[5131938:27019558:9261] |
Generators of the group modulo torsion |
j |
-18799003355779763426/109922036349879 |
j-invariant |
L |
7.1379837816378 |
L(r)(E,1)/r! |
Ω |
0.31614250679209 |
Real period |
R |
11.289187041227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27768k1 |
Quadratic twists by: -4 |