Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400gv |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
2260992000 = 218 · 3 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-353,-1023] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:35:1] |
Generators of the group modulo torsion |
j |
148877/69 |
j-invariant |
L |
5.002279855161 |
L(r)(E,1)/r! |
Ω |
1.151288939282 |
Real period |
R |
2.172469347418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878813 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400fd1 27600dd1 110400jg1 |
Quadratic twists by: -4 8 5 |