Atkin-Lehner |
2- 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
8610t |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-19934302500 = -1 · 22 · 34 · 54 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,645,-2475] |
[a1,a2,a3,a4,a6] |
j |
29672953264079/19934302500 |
j-invariant |
L |
5.5305326377936 |
L(r)(E,1)/r! |
Ω |
0.6913165797242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68880bq3 25830m3 43050c3 60270r3 |
Quadratic twists by: -4 -3 5 -7 |