Atkin-Lehner |
2+ 3- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
40296h |
Isogeny class |
Conductor |
40296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
88973568 = 28 · 32 · 232 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-412,-3328] |
[a1,a2,a3,a4,a6] |
j |
30285104848/347553 |
j-invariant |
L |
2.1204042902058 |
L(r)(E,1)/r! |
Ω |
1.0602021450778 |
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 |
80592d2 120888j2 |
Quadratic twists by: -4 -3 |