Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450p |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1211328810125000 = 23 · 56 · 78 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44942,-3251284] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:678:1] |
Generators of the group modulo torsion |
j |
5461074081/658952 |
j-invariant |
L |
1.9900021794698 |
L(r)(E,1)/r! |
Ω |
0.33048546504869 |
Real period |
R |
1.5053628556754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4018q2 14350a2 |
Quadratic twists by: 5 -7 |