Atkin-Lehner |
2- 5+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17710d |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
29593851213657500 = 22 · 54 · 74 · 118 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-321613,-69631719] |
[a1,a2,a3,a4,a6] |
Generators |
[-405427:241150:1331] |
Generators of the group modulo torsion |
j |
3678944461488981808929/29593851213657500 |
j-invariant |
L |
6.2867970643705 |
L(r)(E,1)/r! |
Ω |
0.2005750678704 |
Real period |
R |
7.835965271158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88550n3 123970bo3 |
Quadratic twists by: 5 -7 |