Atkin-Lehner |
5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4655n |
Isogeny class |
Conductor |
4655 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
9120 |
Modular degree for the optimal curve |
Δ |
-445498046875 = -1 · 510 · 74 · 19 |
Discriminant |
Eigenvalues |
-2 0 5- 7+ 5 -2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9947,383192] |
[a1,a2,a3,a4,a6] |
Generators |
[32:312:1] |
Generators of the group modulo torsion |
j |
-45332315836416/185546875 |
j-invariant |
L |
2.0374661136708 |
L(r)(E,1)/r! |
Ω |
0.94392215128423 |
Real period |
R |
0.21585107531365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74480by1 41895p1 23275f1 4655g1 |
Quadratic twists by: -4 -3 5 -7 |