Atkin-Lehner |
5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56525q |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
151447255859375 = 510 · 7 · 17 · 194 |
Discriminant |
Eigenvalues |
1 0 5+ 7- -4 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20567,-963534] |
[a1,a2,a3,a4,a6] |
Generators |
[36834:129083:216] |
Generators of the group modulo torsion |
j |
61578401087169/9692624375 |
j-invariant |
L |
4.7439848825867 |
L(r)(E,1)/r! |
Ω |
0.40289401337264 |
Real period |
R |
5.8873856709744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11305a3 |
Quadratic twists by: 5 |