Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
48804v |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
36895824 = 24 · 34 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15689,751176] |
[a1,a2,a3,a4,a6] |
Generators |
[73:15:1] |
Generators of the group modulo torsion |
j |
77825707884544/6723 |
j-invariant |
L |
6.5840441157966 |
L(r)(E,1)/r! |
Ω |
1.5732070807586 |
Real period |
R |
0.69751827295037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48804f1 |
Quadratic twists by: -7 |