Atkin-Lehner |
2- 3- 7+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354bo |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-293306468258377728 = -1 · 212 · 36 · 7 · 116 · 892 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-245156,-53434425] |
[a1,a2,a3,a4,a6] |
Generators |
[869:19293:1] |
Generators of the group modulo torsion |
j |
-2235229410904052473/402340834373632 |
j-invariant |
L |
10.041963531652 |
L(r)(E,1)/r! |
Ω |
0.10623724827189 |
Real period |
R |
3.9384976014625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915716 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13706c1 |
Quadratic twists by: -3 |