Atkin-Lehner |
2+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450m |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-39238281250 = -1 · 2 · 510 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 3 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,849,-52] |
[a1,a2,a3,a4,a6] |
j |
88545359/51250 |
j-invariant |
L |
1.3713768938158 |
L(r)(E,1)/r! |
Ω |
0.68568840786332 |
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 |
20090h1 100450c1 |
Quadratic twists by: 5 -7 |