Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55506g |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-9658044 = -1 · 22 · 32 · 11 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11+ -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,41,-95] |
[a1,a2,a3,a4,a6] |
j |
300763/396 |
j-invariant |
L |
2.4529224349474 |
L(r)(E,1)/r! |
Ω |
1.2264612175251 |
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 |
55506bl1 |
Quadratic twists by: 29 |