Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
94752f |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-967038912 = -1 · 26 · 38 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15,-1496] |
[a1,a2,a3,a4,a6] |
Generators |
[83:756:1] |
Generators of the group modulo torsion |
j |
8000/20727 |
j-invariant |
L |
7.2894546760194 |
L(r)(E,1)/r! |
Ω |
0.72657032749935 |
Real period |
R |
2.5081724389525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923743 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752n1 31584t1 |
Quadratic twists by: -4 -3 |