Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168bb |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-27857088 = -1 · 26 · 33 · 73 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -3 -6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,8985] |
[a1,a2,a3,a4,a6] |
Generators |
[16:3:1] |
Generators of the group modulo torsion |
j |
-1000000000000/435267 |
j-invariant |
L |
6.0754906738685 |
L(r)(E,1)/r! |
Ω |
2.0714336097822 |
Real period |
R |
0.97766278792015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63168ck1 987c1 |
Quadratic twists by: -4 8 |