Atkin-Lehner |
2- 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
45288i |
Isogeny class |
Conductor |
45288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1286903808 = 211 · 33 · 17 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2139,38038] |
[a1,a2,a3,a4,a6] |
Generators |
[126:1330:1] |
Generators of the group modulo torsion |
j |
19573223238/23273 |
j-invariant |
L |
7.3002076278769 |
L(r)(E,1)/r! |
Ω |
1.5242630704986 |
Real period |
R |
4.7893357578241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90576a2 45288a2 |
Quadratic twists by: -4 -3 |