Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600cm |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-17169408000000 = -1 · 216 · 36 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14208,-686412] |
[a1,a2,a3,a4,a6] |
Generators |
[234:2976:1] |
Generators of the group modulo torsion |
j |
-4956477625/268272 |
j-invariant |
L |
7.1177268824424 |
L(r)(E,1)/r! |
Ω |
0.21795626907025 |
Real period |
R |
2.7213895218541 |
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 |
3450r1 110400fr1 82800ee1 1104g1 |
Quadratic twists by: -4 8 -3 5 |