Atkin-Lehner |
2- 3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
99540i |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1014442336454400 = 28 · 38 · 52 · 72 · 793 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-212992743,1196452119742] |
[a1,a2,a3,a4,a6] |
Generators |
[314:1062828:1] |
Generators of the group modulo torsion |
j |
5725990699349893409183056/5435754975 |
j-invariant |
L |
6.5367893070174 |
L(r)(E,1)/r! |
Ω |
0.2175649894845 |
Real period |
R |
7.5113065506092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999758671 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
33180r4 |
Quadratic twists by: -3 |