Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560dt |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
5611595486566809600 = 228 · 310 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5640600,-5156895852] |
[a1,a2,a3,a4,a6] |
Generators |
[-1372:1122:1] |
Generators of the group modulo torsion |
j |
4845512858070228485401/1370018429337600 |
j-invariant |
L |
7.5022293874869 |
L(r)(E,1)/r! |
Ω |
0.097966048587996 |
Real period |
R |
3.8289945831326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3570i2 114240fo2 85680dr2 |
Quadratic twists by: -4 8 -3 |