Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15792bg |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-21565397532672 = -1 · 218 · 36 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56432,-5183532] |
[a1,a2,a3,a4,a6] |
j |
-4852301599161073/5264989632 |
j-invariant |
L |
3.7168115698585 |
L(r)(E,1)/r! |
Ω |
0.1548671487441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974d1 63168cq1 47376by1 110544cr1 |
Quadratic twists by: -4 8 -3 -7 |