Atkin-Lehner |
2+ 5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57040c |
Isogeny class |
Conductor |
57040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-3650560 = -1 · 210 · 5 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 2 -5 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-92] |
[a1,a2,a3,a4,a6] |
Generators |
[8:22:1] |
Generators of the group modulo torsion |
j |
-4/3565 |
j-invariant |
L |
3.985077716024 |
L(r)(E,1)/r! |
Ω |
1.1412906682079 |
Real period |
R |
1.7458644967335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28520b1 |
Quadratic twists by: -4 |