Atkin-Lehner |
2+ 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888a |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-269979042816 = -1 · 210 · 33 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -3 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6560,-203856] |
[a1,a2,a3,a4,a6] |
Generators |
[3162:21266:27] |
Generators of the group modulo torsion |
j |
-30493092792964/263651409 |
j-invariant |
L |
3.9052053057226 |
L(r)(E,1)/r! |
Ω |
0.26510261022276 |
Real period |
R |
3.6827299648626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13944m1 111552da1 83664p1 |
Quadratic twists by: -4 8 -3 |