Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
85400v |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-10931200 = -1 · 210 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-568,-5028] |
[a1,a2,a3,a4,a6] |
Generators |
[212466:18846152:27] |
Generators of the group modulo torsion |
j |
-793036420/427 |
j-invariant |
L |
9.9046769996562 |
L(r)(E,1)/r! |
Ω |
0.48888279230094 |
Real period |
R |
10.129909618563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85400p1 |
Quadratic twists by: 5 |