Atkin-Lehner |
3+ 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
55275d |
Isogeny class |
Conductor |
55275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
189216 |
Modular degree for the optimal curve |
Δ |
-78520447608075 = -1 · 318 · 52 · 112 · 67 |
Discriminant |
Eigenvalues |
0 3+ 5+ -4 11+ 4 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-753,-426157] |
[a1,a2,a3,a4,a6] |
j |
-1891233955840/3140817904323 |
j-invariant |
L |
1.1045137217432 |
L(r)(E,1)/r! |
Ω |
0.27612842954284 |
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 |
55275r1 |
Quadratic twists by: 5 |