Atkin-Lehner |
2+ 3- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672v |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1048576 |
Modular degree for the optimal curve |
Δ |
2577321334224 = 24 · 34 · 74 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1880039,-992825064] |
[a1,a2,a3,a4,a6] |
Generators |
[10024:993720:1] |
Generators of the group modulo torsion |
j |
45930855637502905096192/161082583389 |
j-invariant |
L |
8.1566166456252 |
L(r)(E,1)/r! |
Ω |
0.12893113947147 |
Real period |
R |
3.9539597856721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63336m1 |
Quadratic twists by: -4 |