Atkin-Lehner |
2- 3- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71910bh |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
423437069643264000 = 212 · 36 · 53 · 176 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-187817,1204841] |
[a1,a2,a3,a4,a6] |
Generators |
[-389:4104:1] |
Generators of the group modulo torsion |
j |
1005075562981245769/580846460416000 |
j-invariant |
L |
10.992210887525 |
L(r)(E,1)/r! |
Ω |
0.25315869345946 |
Real period |
R |
1.8091766103772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001304 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7990a2 |
Quadratic twists by: -3 |