Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344ba |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
35381420089344 = 213 · 315 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22539,1270586] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:1458:1] |
Generators of the group modulo torsion |
j |
424072554697/11849166 |
j-invariant |
L |
4.6136239686282 |
L(r)(E,1)/r! |
Ω |
0.65003207466349 |
Real period |
R |
0.88719159954589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5418w1 14448l1 |
Quadratic twists by: -4 -3 |