Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bq |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
2410469800128 = 26 · 33 · 136 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 4 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11136,449838] |
[a1,a2,a3,a4,a6] |
Generators |
[536020:-18751:8000] |
Generators of the group modulo torsion |
j |
2386549263163456/37663590627 |
j-invariant |
L |
6.8871816665418 |
L(r)(E,1)/r! |
Ω |
0.81772550420105 |
Real period |
R |
8.4223637775306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432ch1 21216h2 127296ck1 |
Quadratic twists by: -4 8 -3 |