Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200c |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-998437500000000 = -1 · 28 · 32 · 514 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61908,6141312] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:3000:1] |
Generators of the group modulo torsion |
j |
-6560109033424/249609375 |
j-invariant |
L |
5.4410170333703 |
L(r)(E,1)/r! |
Ω |
0.49045121530549 |
Real period |
R |
2.7734751523404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600be1 17040d1 |
Quadratic twists by: -4 5 |