Atkin-Lehner |
2- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450bv |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-42355145907200 = -1 · 210 · 52 · 79 · 41 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 4 5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12398,-621909] |
[a1,a2,a3,a4,a6] |
j |
-208909615/41984 |
j-invariant |
L |
4.4759650771977 |
L(r)(E,1)/r! |
Ω |
0.22379826023586 |
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 |
100450bb1 100450bk1 |
Quadratic twists by: 5 -7 |