Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
2844a |
Isogeny class |
Conductor |
2844 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
14743296 = 28 · 36 · 79 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -2 -1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1623,25166] |
[a1,a2,a3,a4,a6] |
Generators |
[23:2:1] |
Generators of the group modulo torsion |
j |
2533446736/79 |
j-invariant |
L |
3.3350441389419 |
L(r)(E,1)/r! |
Ω |
2.0690426099812 |
Real period |
R |
0.53729264650448 |
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 |
11376q1 45504l1 316a1 71100j1 |
Quadratic twists by: -4 8 -3 5 |