Atkin-Lehner |
3- 5+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85095g |
Isogeny class |
Conductor |
85095 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
2119826807578125 = 315 · 57 · 31 · 61 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 2 -5 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-56928,-4735521] |
[a1,a2,a3,a4,a6] |
j |
27988135191248896/2907855703125 |
j-invariant |
L |
0.62230516577499 |
L(r)(E,1)/r! |
Ω |
0.31115256376629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28365h1 |
Quadratic twists by: -3 |