Atkin-Lehner |
3- 11+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43263c |
Isogeny class |
Conductor |
43263 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
494208 |
Modular degree for the optimal curve |
Δ |
-5154309467680923 = -1 · 317 · 11 · 193 · 232 |
Discriminant |
Eigenvalues |
-2 3- 0 4 11+ -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-419115,-104492552] |
[a1,a2,a3,a4,a6] |
Generators |
[2008:84559:1] |
Generators of the group modulo torsion |
j |
-11168524389693952000/7070383357587 |
j-invariant |
L |
3.5420183712313 |
L(r)(E,1)/r! |
Ω |
0.093814456819614 |
Real period |
R |
3.1462975708489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14421b1 |
Quadratic twists by: -3 |