Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1610c |
Isogeny class |
Conductor |
1610 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
1262240000 = 28 · 54 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-298,-919] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:31:1] |
Generators of the group modulo torsion |
j |
2917464019569/1262240000 |
j-invariant |
L |
3.7578211363811 |
L(r)(E,1)/r! |
Ω |
1.1954813373362 |
Real period |
R |
0.2619461731313 |
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 |
12880m1 51520be1 14490bd1 8050e1 |
Quadratic twists by: -4 8 -3 5 |