Atkin-Lehner |
2+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450w |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-4136244717500 = -1 · 22 · 54 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -6 3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-35551,-2584802] |
[a1,a2,a3,a4,a6] |
Generators |
[701:17456:1] |
Generators of the group modulo torsion |
j |
-197014975/164 |
j-invariant |
L |
4.4156836175353 |
L(r)(E,1)/r! |
Ω |
0.17383466599411 |
Real period |
R |
6.3504071146107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450bl1 100450bd1 |
Quadratic twists by: 5 -7 |