Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
7320q |
Isogeny class |
Conductor |
7320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
49410000 = 24 · 34 · 54 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95,-150] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] |
Generators of the group modulo torsion |
j |
5988775936/3088125 |
j-invariant |
L |
4.6697213322071 |
L(r)(E,1)/r! |
Ω |
1.6156144865725 |
Real period |
R |
1.4451842846848 |
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 |
14640e1 58560d1 21960g1 36600b1 |
Quadratic twists by: -4 8 -3 5 |