Atkin-Lehner |
3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075k |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-125700713296875 = -1 · 32 · 56 · 197 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 5 1 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-21058,-1286982] |
[a1,a2,a3,a4,a6] |
j |
-1404928/171 |
j-invariant |
L |
1.5745316344493 |
L(r)(E,1)/r! |
Ω |
0.19681645430612 |
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 |
81225bj1 1083e1 1425i1 |
Quadratic twists by: -3 5 -19 |