Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920o |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
53333224761600 = 28 · 38 · 52 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11343,304558] |
[a1,a2,a3,a4,a6] |
j |
864848456656/285779025 |
j-invariant |
L |
2.3249019348874 |
L(r)(E,1)/r! |
Ω |
0.58122540555769 |
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 |
57960bq2 38640y2 |
Quadratic twists by: -4 -3 |