Atkin-Lehner |
2- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832bh |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40448 |
Modular degree for the optimal curve |
Δ |
-7221248 = -1 · 212 · 41 · 43 |
Discriminant |
Eigenvalues |
2- -3 -2 3 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,44,64] |
[a1,a2,a3,a4,a6] |
Generators |
[0:8:1] |
Generators of the group modulo torsion |
j |
2299968/1763 |
j-invariant |
L |
3.992937687544 |
L(r)(E,1)/r! |
Ω |
1.5094501642565 |
Real period |
R |
1.3226464071843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832x1 56416e1 |
Quadratic twists by: -4 8 |