Atkin-Lehner |
2+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450f |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
50544 |
Modular degree for the optimal curve |
Δ |
-964721800 = -1 · 23 · 52 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 6 1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-107,1581] |
[a1,a2,a3,a4,a6] |
j |
-46305/328 |
j-invariant |
L |
1.3465520268515 |
L(r)(E,1)/r! |
Ω |
1.3465520425604 |
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 |
100450cg1 2050b1 |
Quadratic twists by: 5 -7 |