Atkin-Lehner |
3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56925z |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-158500546875 = -1 · 36 · 57 · 112 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5+ -3 11- 0 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,19156] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:112:1] [5:-138:1] |
Generators of the group modulo torsion |
j |
-4096/13915 |
j-invariant |
L |
4.7812191233739 |
L(r)(E,1)/r! |
Ω |
0.82196142596737 |
Real period |
R |
0.36355257773665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6325a1 11385h1 |
Quadratic twists by: -3 5 |