Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43400h |
Isogeny class |
Conductor |
43400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-151900000000 = -1 · 28 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -2 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-908,21812] |
[a1,a2,a3,a4,a6] |
j |
-20720464/37975 |
j-invariant |
L |
3.6697199526448 |
L(r)(E,1)/r! |
Ω |
0.91742998812668 |
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 |
86800l1 8680l1 |
Quadratic twists by: -4 5 |