Atkin-Lehner |
3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775n |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-211009523484375 = -1 · 32 · 56 · 7 · 118 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,774,-698777] |
[a1,a2,a3,a4,a6] |
j |
3288008303/13504609503 |
j-invariant |
L |
2.0832599646327 |
L(r)(E,1)/r! |
Ω |
0.26040749557908 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400ev5 17325u6 231a6 40425k5 |
Quadratic twists by: -4 -3 5 -7 |