Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
94752n |
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 |
[-5:36:1] |
Generators of the group modulo torsion |
j |
8000/20727 |
j-invariant |
L |
7.2235846782925 |
L(r)(E,1)/r! |
Ω |
1.2292164978011 |
Real period |
R |
1.4691441015953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012431 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752f1 31584q1 |
Quadratic twists by: -4 -3 |