Atkin-Lehner |
3+ 13+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64467b |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1476017285301 = -1 · 39 · 13 · 193 · 292 |
Discriminant |
Eigenvalues |
-1 3+ -3 -3 2 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3539,100792] |
[a1,a2,a3,a4,a6] |
Generators |
[56:247:1] [158:1483:8] |
Generators of the group modulo torsion |
j |
-248976900171/74989447 |
j-invariant |
L |
5.1949436370258 |
L(r)(E,1)/r! |
Ω |
0.80503828176593 |
Real period |
R |
0.53775327156114 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64467d1 |
Quadratic twists by: -3 |