Atkin-Lehner |
2+ 3+ 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734d |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-20766230955756 = -1 · 22 · 34 · 118 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3634,-200880] |
[a1,a2,a3,a4,a6] |
Generators |
[59:443:1] |
Generators of the group modulo torsion |
j |
5305077532197143/20766230955756 |
j-invariant |
L |
2.4790669979736 |
L(r)(E,1)/r! |
Ω |
0.34596342861457 |
Real period |
R |
3.5828454584075 |
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 |
59202bf3 |
Quadratic twists by: -3 |