Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4550v |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-17493612500000 = -1 · 25 · 58 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -1 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4388,-230608] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2272:1] |
Generators of the group modulo torsion |
j |
-23920470625/44783648 |
j-invariant |
L |
5.9780866680834 |
L(r)(E,1)/r! |
Ω |
0.27626260259851 |
Real period |
R |
1.0819572775783 |
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 |
36400cr1 40950bu1 4550i1 31850cn1 |
Quadratic twists by: -4 -3 5 -7 |