Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800a |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
271250000 = 24 · 57 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9050,331375] |
[a1,a2,a3,a4,a6] |
Generators |
[199:2532:1] |
Generators of the group modulo torsion |
j |
327890958336/1085 |
j-invariant |
L |
3.9150708587706 |
L(r)(E,1)/r! |
Ω |
1.5211935057036 |
Real period |
R |
5.1473673062853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43400j1 17360n1 |
Quadratic twists by: -4 5 |