Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032l |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1277572138416 = -1 · 24 · 36 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -3 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2058,40817] |
[a1,a2,a3,a4,a6] |
Generators |
[16:279:1] |
Generators of the group modulo torsion |
j |
14336/19 |
j-invariant |
L |
6.3178500594786 |
L(r)(E,1)/r! |
Ω |
0.57954649740261 |
Real period |
R |
2.7253421805575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7448m1 67032u1 |
Quadratic twists by: -3 -7 |