Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600g |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
36352000000 = 215 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 4 5 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,1537] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:100:1] |
Generators of the group modulo torsion |
j |
125000/71 |
j-invariant |
L |
5.0497033152291 |
L(r)(E,1)/r! |
Ω |
0.9949320473833 |
Real period |
R |
1.2688563499833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998628281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600w1 56800k1 4544a1 |
Quadratic twists by: -4 8 5 |