Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426k |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-19335435381504 = -1 · 28 · 310 · 113 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 11+ 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-120564,16104178] |
[a1,a2,a3,a4,a6] |
Generators |
[209:-321:1] |
Generators of the group modulo torsion |
j |
-201673154403670009/20120120064 |
j-invariant |
L |
5.7187230016126 |
L(r)(E,1)/r! |
Ω |
0.65734287386007 |
Real period |
R |
0.43498782971492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63426c1 |
Quadratic twists by: -31 |