Atkin-Lehner |
3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
28305f |
Isogeny class |
Conductor |
28305 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
799571480123025 = 310 · 52 · 172 · 374 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-349110,79470391] |
[a1,a2,a3,a4,a6] |
Generators |
[-5234:44575:8] |
Generators of the group modulo torsion |
j |
6454814273433732961/1096805871225 |
j-invariant |
L |
6.6099623551663 |
L(r)(E,1)/r! |
Ω |
0.48726872408267 |
Real period |
R |
3.391333174323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9435e3 |
Quadratic twists by: -3 |