Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350bh |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1334191131437500 = -1 · 22 · 56 · 79 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10030,-1796903] |
[a1,a2,a3,a4,a6] |
Generators |
[23105:191441:125] |
Generators of the group modulo torsion |
j |
-60698457/725788 |
j-invariant |
L |
8.3397452858003 |
L(r)(E,1)/r! |
Ω |
0.20546146047648 |
Real period |
R |
5.0737893047306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2254b1 8050n1 |
Quadratic twists by: 5 -7 |