Atkin-Lehner |
3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18081a |
Isogeny class |
Conductor |
18081 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-10727527942467 = -1 · 33 · 78 · 413 |
Discriminant |
Eigenvalues |
0 3+ 0 7- -3 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7350,-289235] |
[a1,a2,a3,a4,a6] |
j |
-13824000000/3377129 |
j-invariant |
L |
1.0181133311592 |
L(r)(E,1)/r! |
Ω |
0.2545283327898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18081d2 2583b1 |
Quadratic twists by: -3 -7 |