Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720p |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-4303470124800 = -1 · 28 · 38 · 52 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3273,-69046] |
[a1,a2,a3,a4,a6] |
Generators |
[83:880:1] |
Generators of the group modulo torsion |
j |
20777545136/23059575 |
j-invariant |
L |
5.5163543880777 |
L(r)(E,1)/r! |
Ω |
0.41966820476392 |
Real period |
R |
3.2861402921749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440bs1 9240q1 |
Quadratic twists by: -4 -3 |