Atkin-Lehner |
2- 3- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
85932bd |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
36840960 |
Modular degree for the optimal curve |
Δ |
-1.7768813371203E+27 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ 6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,85047657,2005496607854] |
[a1,a2,a3,a4,a6] |
j |
364538396880947306727344/9521183433643836761961 |
j-invariant |
L |
2.7578850854922 |
L(r)(E,1)/r! |
Ω |
0.035357501170996 |
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 |
28644h1 |
Quadratic twists by: -3 |