Atkin-Lehner |
2+ 3+ 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760g |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5149497600 = 28 · 32 · 52 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1500,-21600] |
[a1,a2,a3,a4,a6] |
Generators |
[97:858:1] |
Generators of the group modulo torsion |
j |
1458972216016/20115225 |
j-invariant |
L |
5.3687441971677 |
L(r)(E,1)/r! |
Ω |
0.76774156934081 |
Real period |
R |
3.4964527209025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981828 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35880g2 |
Quadratic twists by: -4 |