Atkin-Lehner |
2+ 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1518g |
Isogeny class |
Conductor |
1518 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
783792101714688 = 28 · 33 · 118 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 11+ -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29849,-1460356] |
[a1,a2,a3,a4,a6] |
j |
2940980566145956489/783792101714688 |
j-invariant |
L |
2.2226379721173 |
L(r)(E,1)/r! |
Ω |
0.37043966201955 |
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 |
12144ba2 48576v2 4554bj2 37950bx2 |
Quadratic twists by: -4 8 -3 5 |