Atkin-Lehner |
3+ 13+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64467a |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
16137296980195833 = 39 · 132 · 193 · 294 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 2 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-644465,-198879704] |
[a1,a2,a3,a4,a6] |
j |
1503937530048400875/819859624051 |
j-invariant |
L |
1.011032774479 |
L(r)(E,1)/r! |
Ω |
0.16850546217071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64467c1 |
Quadratic twists by: -3 |