Atkin-Lehner |
2- 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080x |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
799948800 = 214 · 32 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1776,29376] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:234:1] [-24:240:1] |
Generators of the group modulo torsion |
j |
151334226289/195300 |
j-invariant |
L |
7.3264659504982 |
L(r)(E,1)/r! |
Ω |
1.5871428461074 |
Real period |
R |
1.1540337986065 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510w1 |
Quadratic twists by: -4 |