Atkin-Lehner |
2+ 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5712c |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-9870336 = -1 · 210 · 34 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -6 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16,144] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:10:1] [0:12:1] |
Generators of the group modulo torsion |
j |
415292/9639 |
j-invariant |
L |
3.9177418301743 |
L(r)(E,1)/r! |
Ω |
1.7195800627864 |
Real period |
R |
1.1391565635584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2856d1 22848cp1 17136e1 39984q1 |
Quadratic twists by: -4 8 -3 -7 |