Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162u |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-15187167391739904 = -1 · 212 · 38 · 117 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,41904,4914432] |
[a1,a2,a3,a4,a6] |
Generators |
[108184800:-2458201712:421875] |
Generators of the group modulo torsion |
j |
6300872423/11759616 |
j-invariant |
L |
5.5395013064572 |
L(r)(E,1)/r! |
Ω |
0.27089448071501 |
Real period |
R |
10.224463215723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21054bg1 5742v1 |
Quadratic twists by: -3 -11 |