Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5712g |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
18502955149722624 = 210 · 312 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11335464,-14685722496] |
[a1,a2,a3,a4,a6] |
Generators |
[4784:201376:1] |
Generators of the group modulo torsion |
j |
157304700372188331121828/18069292138401 |
j-invariant |
L |
3.037406583568 |
L(r)(E,1)/r! |
Ω |
0.082279137209828 |
Real period |
R |
6.1526463179077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2856h2 22848cw2 17136j2 39984o2 |
Quadratic twists by: -4 8 -3 -7 |