Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28152a |
Isogeny class |
Conductor |
28152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1429671168 = 28 · 33 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 0 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103884,12887572] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2:1] |
Generators of the group modulo torsion |
j |
17937667659377664/206839 |
j-invariant |
L |
6.6581505397474 |
L(r)(E,1)/r! |
Ω |
1.0659612824737 |
Real period |
R |
0.780768336667 |
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 |
56304c1 28152n1 |
Quadratic twists by: -4 -3 |