Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3528p |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
355770576 = 24 · 33 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -6 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-294,-1715] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:15:1] |
Generators of the group modulo torsion |
j |
55296/7 |
j-invariant |
L |
3.8418509147942 |
L(r)(E,1)/r! |
Ω |
1.1625535845102 |
Real period |
R |
1.6523328326465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7056h1 28224q1 3528e1 88200u1 |
Quadratic twists by: -4 8 -3 5 |