Atkin-Lehner |
2+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81862c |
Isogeny class |
Conductor |
81862 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1756800 |
Modular degree for the optimal curve |
Δ |
-5938325727403776256 = -1 · 28 · 112 · 618 |
Discriminant |
Eigenvalues |
2+ 2 1 4 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,278998,-102493612] |
[a1,a2,a3,a4,a6] |
Generators |
[17175660:1222944098:3375] |
Generators of the group modulo torsion |
j |
12528119/30976 |
j-invariant |
L |
8.8154092531072 |
L(r)(E,1)/r! |
Ω |
0.12362325493871 |
Real period |
R |
5.9423887353606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81862i1 |
Quadratic twists by: 61 |