Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56672u |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-743311425472 = -1 · 26 · 73 · 112 · 234 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 11- 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1482,-47432] |
[a1,a2,a3,a4,a6] |
Generators |
[40998:1597580:27] |
Generators of the group modulo torsion |
j |
-5628353447872/11614241023 |
j-invariant |
L |
4.3743215399849 |
L(r)(E,1)/r! |
Ω |
0.36105451169788 |
Real period |
R |
6.0577023665937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56672m1 113344d2 |
Quadratic twists by: -4 8 |