Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18648o |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
1248699282768 = 24 · 316 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4710,112201] |
[a1,a2,a3,a4,a6] |
j |
990692608000/107055837 |
j-invariant |
L |
3.3421281984396 |
L(r)(E,1)/r! |
Ω |
0.83553204960989 |
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 |
37296o1 6216u1 |
Quadratic twists by: -4 -3 |