Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
72828l |
Isogeny class |
Conductor |
72828 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-99368911847992752 = -1 · 24 · 37 · 76 · 176 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-294780,63441569] |
[a1,a2,a3,a4,a6] |
Generators |
[238:-2601:1] |
Generators of the group modulo torsion |
j |
-10061824000/352947 |
j-invariant |
L |
4.5633645497992 |
L(r)(E,1)/r! |
Ω |
0.33464988150274 |
Real period |
R |
1.1363529472548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000153 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24276a3 252a3 |
Quadratic twists by: -3 17 |