Atkin-Lehner |
2+ 3+ 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30360g |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
22584679524000000 = 28 · 36 · 56 · 114 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108380,-11639628] |
[a1,a2,a3,a4,a6] |
j |
549965180188451536/88221404390625 |
j-invariant |
L |
1.5958684590774 |
L(r)(E,1)/r! |
Ω |
0.26597807651293 |
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 |
60720bh2 91080br2 |
Quadratic twists by: -4 -3 |