Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12642u |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
5663616 = 27 · 3 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 2 1 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-631,5837] |
[a1,a2,a3,a4,a6] |
Generators |
[13:0:1] |
Generators of the group modulo torsion |
j |
81014113783/16512 |
j-invariant |
L |
5.8295214960009 |
L(r)(E,1)/r! |
Ω |
2.3356136465535 |
Real period |
R |
0.1782805102145 |
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 |
101136cw1 37926m1 12642bh1 |
Quadratic twists by: -4 -3 -7 |