Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56784cd |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
673428128182992 = 24 · 34 · 72 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29293,-1461656] |
[a1,a2,a3,a4,a6] |
j |
16384000/3969 |
j-invariant |
L |
0.74272673798731 |
L(r)(E,1)/r! |
Ω |
0.3713633691568 |
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 |
14196j1 56784bn1 |
Quadratic twists by: -4 13 |