Atkin-Lehner |
3+ 13+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64467c |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
22136209849377 = 33 · 132 · 193 · 294 |
Discriminant |
Eigenvalues |
1 3+ 0 0 -2 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71607,7389784] |
[a1,a2,a3,a4,a6] |
Generators |
[1390:-4001:8] |
Generators of the group modulo torsion |
j |
1503937530048400875/819859624051 |
j-invariant |
L |
6.1025529187264 |
L(r)(E,1)/r! |
Ω |
0.66990716412047 |
Real period |
R |
0.7591291805401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64467a1 |
Quadratic twists by: -3 |