Atkin-Lehner |
2- 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104br |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-1.7628533534608E+20 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 4 -1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4070305,-3223288511] |
[a1,a2,a3,a4,a6] |
j |
-28448852731909216489/672475186714464 |
j-invariant |
L |
1.6982665377831 |
L(r)(E,1)/r! |
Ω |
0.053070829286476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104bh1 13776n1 |
Quadratic twists by: -4 8 |