Atkin-Lehner |
2- 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840cg |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-4713984000 = -1 · 212 · 33 · 53 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,395,-1475] |
[a1,a2,a3,a4,a6] |
j |
1659797504/1150875 |
j-invariant |
L |
2.3272987371514 |
L(r)(E,1)/r! |
Ω |
0.77576624531849 |
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 |
5115i1 |
Quadratic twists by: -4 |