Atkin-Lehner |
3- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
69531l |
Isogeny class |
Conductor |
69531 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1023910530739237449 = 38 · 78 · 114 · 432 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-413169,-89917416] |
[a1,a2,a3,a4,a6] |
Generators |
[-429:3117:1] [-351:3624:1] |
Generators of the group modulo torsion |
j |
66300793297143553/8703095910201 |
j-invariant |
L |
7.2364069900682 |
L(r)(E,1)/r! |
Ω |
0.18993899643292 |
Real period |
R |
4.7623231181987 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999841 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9933a2 |
Quadratic twists by: -7 |