Atkin-Lehner |
3+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
2847a |
Isogeny class |
Conductor |
2847 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
8993673 = 36 · 132 · 73 |
Discriminant |
Eigenvalues |
-1 3+ 0 4 -2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-248,-1600] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:5:1] |
Generators of the group modulo torsion |
j |
1687284042625/8993673 |
j-invariant |
L |
2.0052117920842 |
L(r)(E,1)/r! |
Ω |
1.2034190427369 |
Real period |
R |
1.6662623083675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45552l1 8541c1 71175o1 37011a1 |
Quadratic twists by: -4 -3 5 13 |