Atkin-Lehner |
2- 5+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17630g |
Isogeny class |
Conductor |
17630 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
65259407714843750 = 2 · 512 · 412 · 433 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-861421,-307557285] |
[a1,a2,a3,a4,a6] |
Generators |
[-4258:5913:8] [35302:2270723:8] |
Generators of the group modulo torsion |
j |
70691973896614583093329/65259407714843750 |
j-invariant |
L |
6.6219438387741 |
L(r)(E,1)/r! |
Ω |
0.15671831644078 |
Real period |
R |
14.084598807943 |
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 |
88150e4 |
Quadratic twists by: 5 |