Atkin-Lehner |
2+ 3- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
72624j |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-19659904763904 = -1 · 211 · 32 · 17 · 894 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3888,193140] |
[a1,a2,a3,a4,a6] |
j |
3172932422494/9599562873 |
j-invariant |
L |
3.863700871473 |
L(r)(E,1)/r! |
Ω |
0.48296260645378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36312h3 |
Quadratic twists by: -4 |