Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175s |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
65274410673828125 = 510 · 73 · 117 |
Discriminant |
Eigenvalues |
0 2 5+ 7- 11- -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-100833,-852182] |
[a1,a2,a3,a4,a6] |
Generators |
[-304:1270:1] |
Generators of the group modulo torsion |
j |
6553600/3773 |
j-invariant |
L |
6.2410379256082 |
L(r)(E,1)/r! |
Ω |
0.29159764769291 |
Real period |
R |
1.7835757521213 |
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 |
21175z1 1925b1 |
Quadratic twists by: 5 -11 |