Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344t |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
198796017401856 = 225 · 39 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -6 5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15363,277506] |
[a1,a2,a3,a4,a6] |
Generators |
[1:512:1] |
Generators of the group modulo torsion |
j |
4973940243/2465792 |
j-invariant |
L |
4.8991994590066 |
L(r)(E,1)/r! |
Ω |
0.50094985641453 |
Real period |
R |
1.2224775085467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5418a1 43344s1 |
Quadratic twists by: -4 -3 |