Atkin-Lehner |
3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675h |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-18654046875 = -1 · 35 · 56 · 173 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 2 5 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-21108,-1173382] |
[a1,a2,a3,a4,a6] |
Generators |
[4298:95417:8] |
Generators of the group modulo torsion |
j |
-13549359104/243 |
j-invariant |
L |
2.5352026305112 |
L(r)(E,1)/r! |
Ω |
0.19804122578572 |
Real period |
R |
6.400694149546 |
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 |
65025br2 867e2 21675r2 |
Quadratic twists by: -3 5 17 |