Atkin-Lehner |
5+ 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
93275d |
Isogeny class |
Conductor |
93275 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
321463296 |
Modular degree for the optimal curve |
Δ |
-6.6782851766926E+32 |
Discriminant |
Eigenvalues |
1 -1 5+ 7+ 2 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17749541775,-1540894435351250] |
[a1,a2,a3,a4,a6] |
j |
-39579027900867264317778931289329/42741025130832798511733461925 |
j-invariant |
L |
0.27599357137002 |
L(r)(E,1)/r! |
Ω |
0.0062725804440173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18655a1 |
Quadratic twists by: 5 |