Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101136bg |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
46261559538432 = 28 · 36 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14324,577788] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:918:1] |
Generators of the group modulo torsion |
j |
10792418128/1536003 |
j-invariant |
L |
3.9914468928168 |
L(r)(E,1)/r! |
Ω |
0.61281304262461 |
Real period |
R |
3.2566595443047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25284n2 14448bb2 |
Quadratic twists by: -4 -7 |