Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970cs |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5781086640 = 24 · 36 · 5 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26858,1700857] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:1157:1] [65:443:1] |
Generators of the group modulo torsion |
j |
8568561392847/23120 |
j-invariant |
L |
14.144985834953 |
L(r)(E,1)/r! |
Ω |
1.1711009668191 |
Real period |
R |
1.5097957216928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8330m2 74970ee2 |
Quadratic twists by: -3 -7 |