Atkin-Lehner |
2- 43- |
Signs for the Atkin-Lehner involutions |
Class |
29584n |
Isogeny class |
Conductor |
29584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-1113369031094272 = -1 · 212 · 437 |
Discriminant |
Eigenvalues |
2- -2 4 0 -3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9861,1645747] |
[a1,a2,a3,a4,a6] |
Generators |
[78:1165:1] |
Generators of the group modulo torsion |
j |
-4096/43 |
j-invariant |
L |
4.3677759497626 |
L(r)(E,1)/r! |
Ω |
0.41698366745647 |
Real period |
R |
5.2373465565274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1849d1 118336bl1 688c1 |
Quadratic twists by: -4 8 -43 |