Atkin-Lehner |
5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21175a |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
727890625 = 57 · 7 · 113 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-292,1491] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1143:1] |
Generators of the group modulo torsion |
j |
132651/35 |
j-invariant |
L |
4.7417690860802 |
L(r)(E,1)/r! |
Ω |
1.4988963802868 |
Real period |
R |
3.1635069297938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4235f1 21175l1 |
Quadratic twists by: 5 -11 |