Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960s |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
120937017600 = 28 · 36 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2007,-30294] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:54:1] |
Generators of the group modulo torsion |
j |
4790692944/648025 |
j-invariant |
L |
7.059339796258 |
L(r)(E,1)/r! |
Ω |
0.7196730871863 |
Real period |
R |
2.4522730953153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999632 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115920bt2 6440e2 |
Quadratic twists by: -4 -3 |