Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712bz |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.5342446569117E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,462516,-209773712] |
[a1,a2,a3,a4,a6] |
Generators |
[668954580:-18320780456:1157625] |
Generators of the group modulo torsion |
j |
57258048889007/132611470002 |
j-invariant |
L |
10.182271827417 |
L(r)(E,1)/r! |
Ω |
0.10985796658881 |
Real period |
R |
11.58572303674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712dm3 3366c4 35904bg3 |
Quadratic twists by: -4 8 -3 |