Atkin-Lehner |
5+ 41+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
54325a |
Isogeny class |
Conductor |
54325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21026304 |
Modular degree for the optimal curve |
Δ |
-9.6037111195755E+23 |
Discriminant |
Eigenvalues |
1 3 5+ 4 6 -3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52497442,153822903341] |
[a1,a2,a3,a4,a6] |
j |
-1024042822584020867289969/61463751165283203125 |
j-invariant |
L |
8.6855839125399 |
L(r)(E,1)/r! |
Ω |
0.086855839109954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10865a1 |
Quadratic twists by: 5 |