Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775a |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-54591796875 = -1 · 3 · 59 · 7 · 113 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11+ 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-21033,-1167157] |
[a1,a2,a3,a4,a6] |
Generators |
[3077:170462:1] |
Generators of the group modulo torsion |
j |
-65860951343104/3493875 |
j-invariant |
L |
2.5566106409634 |
L(r)(E,1)/r! |
Ω |
0.19821711490346 |
Real period |
R |
6.4490158738526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400hl2 17325m2 1155j2 40425cc2 |
Quadratic twists by: -4 -3 5 -7 |