Atkin-Lehner |
3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
74727b |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188352 |
Modular degree for the optimal curve |
Δ |
-1356942260547 = -1 · 39 · 194 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 4 3 -4 1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5483,167374] |
[a1,a2,a3,a4,a6] |
j |
-7105563/529 |
j-invariant |
L |
3.3617012101336 |
L(r)(E,1)/r! |
Ω |
0.84042531270695 |
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 |
74727a1 74727d1 |
Quadratic twists by: -3 -19 |