Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
92778f |
Isogeny class |
Conductor |
92778 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
565248 |
Modular degree for the optimal curve |
Δ |
-3574732737986928 = -1 · 24 · 32 · 72 · 477 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1151,2876546] |
[a1,a2,a3,a4,a6] |
j |
-15625/331632 |
j-invariant |
L |
2.8383137906981 |
L(r)(E,1)/r! |
Ω |
0.35478920455738 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974b1 |
Quadratic twists by: -47 |