Atkin-Lehner |
2- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450cf |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-1986579248605000 = -1 · 23 · 54 · 78 · 413 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 0 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-339963,-76353383] |
[a1,a2,a3,a4,a6] |
Generators |
[748:9007:1] |
Generators of the group modulo torsion |
j |
-1206019732225/551368 |
j-invariant |
L |
5.8070550522006 |
L(r)(E,1)/r! |
Ω |
0.098855247896224 |
Real period |
R |
6.5270013776312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450b2 100450cl2 |
Quadratic twists by: 5 -7 |