Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168cr |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-5433458688 = -1 · 218 · 32 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,415,1281] |
[a1,a2,a3,a4,a6] |
Generators |
[11:84:1] |
Generators of the group modulo torsion |
j |
30080231/20727 |
j-invariant |
L |
3.8307262097894 |
L(r)(E,1)/r! |
Ω |
0.85624127911765 |
Real period |
R |
1.1184715987976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168bh1 15792bi1 |
Quadratic twists by: -4 8 |