Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
1464b |
Isogeny class |
Conductor |
1464 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-298763375616 = -1 · 210 · 314 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 -5 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1640,6752] |
[a1,a2,a3,a4,a6] |
Generators |
[92:-972:1] |
Generators of the group modulo torsion |
j |
476091534236/291761109 |
j-invariant |
L |
3.0821951600843 |
L(r)(E,1)/r! |
Ω |
0.5987007642292 |
Real period |
R |
0.18386213138739 |
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 |
2928a1 11712c1 4392d1 36600v1 |
Quadratic twists by: -4 8 -3 5 |