Atkin-Lehner |
2- 3- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
66576bd |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6630194122752 = -1 · 212 · 3 · 19 · 734 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3088,-103788] |
[a1,a2,a3,a4,a6] |
Generators |
[684:17958:1] |
Generators of the group modulo torsion |
j |
794794754447/1618699737 |
j-invariant |
L |
8.3192333943623 |
L(r)(E,1)/r! |
Ω |
0.39078262128041 |
Real period |
R |
2.6610809119782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000002814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4161b4 |
Quadratic twists by: -4 |