Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
41832p |
Isogeny class |
Conductor |
41832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-1729083888 = -1 · 24 · 33 · 7 · 833 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 3 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4191,-104449] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1151:1] |
Generators of the group modulo torsion |
j |
-18844861406976/4002509 |
j-invariant |
L |
5.6289839029805 |
L(r)(E,1)/r! |
Ω |
0.29667749958325 |
Real period |
R |
4.7433525552875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83664g1 41832f1 |
Quadratic twists by: -4 -3 |