Atkin-Lehner |
2+ 3- 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17670h |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
2173741312500 = 22 · 310 · 56 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11933,495668] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:730:1] [-36:955:1] |
Generators of the group modulo torsion |
j |
187897203284347081/2173741312500 |
j-invariant |
L |
5.9204723061854 |
L(r)(E,1)/r! |
Ω |
0.82634694133109 |
Real period |
R |
0.23882108954739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53010bo2 88350by2 |
Quadratic twists by: -3 5 |