Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400ev |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
512000 |
Modular degree for the optimal curve |
Δ |
-4113504000000000 = -1 · 214 · 35 · 59 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25167,-2667537] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1656:1] |
Generators of the group modulo torsion |
j |
55087216/128547 |
j-invariant |
L |
8.8648285896182 |
L(r)(E,1)/r! |
Ω |
0.22724225494835 |
Real period |
R |
1.9505238056827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400hh1 13800j1 110400ck1 |
Quadratic twists by: -4 8 5 |