Atkin-Lehner |
2+ 3- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
72624j |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
189872833536 = 210 · 34 · 172 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2232,34020] |
[a1,a2,a3,a4,a6] |
j |
1201436683492/185422689 |
j-invariant |
L |
3.863700871473 |
L(r)(E,1)/r! |
Ω |
0.96592521290756 |
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 |
36312h2 |
Quadratic twists by: -4 |