Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426o |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-877324935007750878 = -1 · 2 · 32 · 116 · 317 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 11+ -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,237827,-6141298] |
[a1,a2,a3,a4,a6] |
Generators |
[1416:67990:27] |
Generators of the group modulo torsion |
j |
1676253304439/988531038 |
j-invariant |
L |
1.6416424574255 |
L(r)(E,1)/r! |
Ω |
0.16465947993774 |
Real period |
R |
4.9849618676532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2046d2 |
Quadratic twists by: -31 |