Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1610d |
Isogeny class |
Conductor |
1610 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
12622400 = 26 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-151,681] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:17:1] |
Generators of the group modulo torsion |
j |
380920459249/12622400 |
j-invariant |
L |
2.945888697275 |
L(r)(E,1)/r! |
Ω |
2.2348305208386 |
Real period |
R |
1.3181709618721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
12880n1 51520bg1 14490ba1 8050g1 |
Quadratic twists by: -4 8 -3 5 |