Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175r |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1186807466796875 = -1 · 59 · 73 · 116 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 11- 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,26217,270093] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:437:1] |
Generators of the group modulo torsion |
j |
71991296/42875 |
j-invariant |
L |
3.5598157432273 |
L(r)(E,1)/r! |
Ω |
0.29732810953463 |
Real period |
R |
0.99772373489988 |
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 |
4235b2 175b2 |
Quadratic twists by: 5 -11 |