Atkin-Lehner |
5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21175b |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-232925 = -1 · 52 · 7 · 113 |
Discriminant |
Eigenvalues |
1 -1 5+ 7+ 11+ 2 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35,70] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
-148955/7 |
j-invariant |
L |
4.0749306546804 |
L(r)(E,1)/r! |
Ω |
3.1037404794464 |
Real period |
R |
0.65645479731078 |
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 |
21175bf1 21175m1 |
Quadratic twists by: 5 -11 |