Atkin-Lehner |
2- 5+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17630g |
Isogeny class |
Conductor |
17630 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
1021272411815000 = 23 · 54 · 416 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37731,2361961] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:2157:1] [20:1261:1] |
Generators of the group modulo torsion |
j |
5940450459542497969/1021272411815000 |
j-invariant |
L |
6.6219438387741 |
L(r)(E,1)/r! |
Ω |
0.47015494932234 |
Real period |
R |
14.084598807943 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
88150e2 |
Quadratic twists by: 5 |