Atkin-Lehner |
3+ 13+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64467d |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2024715069 = -1 · 33 · 13 · 193 · 292 |
Discriminant |
Eigenvalues |
1 3+ 3 -3 -2 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-393,-3602] |
[a1,a2,a3,a4,a6] |
Generators |
[26:44:1] |
Generators of the group modulo torsion |
j |
-248976900171/74989447 |
j-invariant |
L |
7.088227769771 |
L(r)(E,1)/r! |
Ω |
0.52789243787841 |
Real period |
R |
1.118950765544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64467b1 |
Quadratic twists by: -3 |