Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44206q |
Isogeny class |
Conductor |
44206 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
297600 |
Modular degree for the optimal curve |
Δ |
7218869740900624 = 24 · 232 · 318 |
Discriminant |
Eigenvalues |
2- -1 -3 1 -1 3 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78822,-7505453] |
[a1,a2,a3,a4,a6] |
Generators |
[-3615:23897:27] |
Generators of the group modulo torsion |
j |
63499873/8464 |
j-invariant |
L |
5.9074885249272 |
L(r)(E,1)/r! |
Ω |
0.28744043945025 |
Real period |
R |
0.85633516173302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44206l1 |
Quadratic twists by: -31 |