Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200bl |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-31193792000000 = -1 · 212 · 56 · 75 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -2 -4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7867,6637] |
[a1,a2,a3,a4,a6] |
Generators |
[92:1225:1] |
Generators of the group modulo torsion |
j |
841232384/487403 |
j-invariant |
L |
4.2669174309637 |
L(r)(E,1)/r! |
Ω |
0.3954974669987 |
Real period |
R |
1.0788735176092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5075c1 3248g1 |
Quadratic twists by: -4 5 |