Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56672l |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-78711957513728 = -1 · 29 · 73 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 11+ -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-110824,-14169880] |
[a1,a2,a3,a4,a6] |
Generators |
[3146:13643:8] |
Generators of the group modulo torsion |
j |
-294007990367262536/153734292019 |
j-invariant |
L |
2.5357665023195 |
L(r)(E,1)/r! |
Ω |
0.13082693181107 |
Real period |
R |
6.4608677210908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56672e1 113344el1 |
Quadratic twists by: -4 8 |