Atkin-Lehner |
2- 3- 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55476d |
Isogeny class |
Conductor |
55476 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
456401495808 = 28 · 37 · 233 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 0 3 2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82479,-9117178] |
[a1,a2,a3,a4,a6] |
Generators |
[866:23852:1] |
Generators of the group modulo torsion |
j |
332495964674512/2445567 |
j-invariant |
L |
7.8194308610671 |
L(r)(E,1)/r! |
Ω |
0.28171754793204 |
Real period |
R |
6.9390697513084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18492c1 |
Quadratic twists by: -3 |