Atkin-Lehner |
2+ 3- 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
92112f |
Isogeny class |
Conductor |
92112 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
4788350208 = 28 · 33 · 193 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -1 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2393,-45741] |
[a1,a2,a3,a4,a6] |
j |
5922339712000/18704493 |
j-invariant |
L |
2.0481062235429 |
L(r)(E,1)/r! |
Ω |
0.68270207070986 |
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 |
46056e1 |
Quadratic twists by: -4 |