Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69825br |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
51560179773046875 = 310 · 58 · 76 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -6 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-93126,535273] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:3456:1] |
Generators of the group modulo torsion |
j |
48587168449/28048275 |
j-invariant |
L |
7.3546768733569 |
L(r)(E,1)/r! |
Ω |
0.30221514168459 |
Real period |
R |
1.2167949016722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13965l2 1425c2 |
Quadratic twists by: 5 -7 |