Atkin-Lehner |
3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5475b |
Isogeny class |
Conductor |
5475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
2309765625 = 34 · 58 · 73 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1025,12000] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-4:1] |
Generators of the group modulo torsion |
j |
7633736209/147825 |
j-invariant |
L |
3.9031987396331 |
L(r)(E,1)/r! |
Ω |
1.4568753456905 |
Real period |
R |
2.6791576583261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600by1 16425g1 1095a1 |
Quadratic twists by: -4 -3 5 |