Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
7050bj |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-1894606848000 = -1 · 214 · 39 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 0 1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7608,263232] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:744:1] |
Generators of the group modulo torsion |
j |
-389608818861653/15156854784 |
j-invariant |
L |
6.6835721006757 |
L(r)(E,1)/r! |
Ω |
0.82656114214989 |
Real period |
R |
0.032087295371319 |
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 |
56400cb1 21150bh1 7050d1 |
Quadratic twists by: -4 -3 5 |