Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7920w |
Isogeny class |
Conductor |
7920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
88683724800 = 214 · 39 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2187,36666] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:270:1] |
Generators of the group modulo torsion |
j |
14348907/1100 |
j-invariant |
L |
4.5146297206972 |
L(r)(E,1)/r! |
Ω |
1.0513074916159 |
Real period |
R |
1.0735749903574 |
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 |
990i1 31680cd1 7920v1 39600bv1 |
Quadratic twists by: -4 8 -3 5 |