Atkin-Lehner |
2- 3+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
48144h |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-31946047488 = -1 · 217 · 35 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -4 1 2 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,640,-6144] |
[a1,a2,a3,a4,a6] |
Generators |
[10:34:1] |
Generators of the group modulo torsion |
j |
7066834559/7799328 |
j-invariant |
L |
3.42463883733 |
L(r)(E,1)/r! |
Ω |
0.63173080623368 |
Real period |
R |
2.7105206866053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6018j1 |
Quadratic twists by: -4 |