Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175r |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-378446258544921875 = -1 · 515 · 7 · 116 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 11- 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-397283,100957218] |
[a1,a2,a3,a4,a6] |
Generators |
[-3654:109371:8] |
Generators of the group modulo torsion |
j |
-250523582464/13671875 |
j-invariant |
L |
3.5598157432273 |
L(r)(E,1)/r! |
Ω |
0.29732810953463 |
Real period |
R |
2.9931712046996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4235b3 175b3 |
Quadratic twists by: 5 -11 |