Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480be |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
173859840 = 210 · 32 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6280,-193660] |
[a1,a2,a3,a4,a6] |
j |
26752959989284/169785 |
j-invariant |
L |
3.2177722107766 |
L(r)(E,1)/r! |
Ω |
0.53629536846276 |
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 |
9240t1 73920ez1 55440x1 92400d1 |
Quadratic twists by: -4 8 -3 5 |