Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7050n |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
526873928906250 = 2 · 315 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23576,-851452] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:724:1] |
Generators of the group modulo torsion |
j |
3709774959385/1348797258 |
j-invariant |
L |
3.5331163473145 |
L(r)(E,1)/r! |
Ω |
0.39699003955419 |
Real period |
R |
1.7799521374804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
56400cg1 21150cm1 7050t1 |
Quadratic twists by: -4 -3 5 |