Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984b |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-469561550957568 = -1 · 210 · 33 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -3 -6 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61731,-5994766] |
[a1,a2,a3,a4,a6] |
Generators |
[361:4332:1] |
Generators of the group modulo torsion |
j |
-55404 |
j-invariant |
L |
2.5758196022687 |
L(r)(E,1)/r! |
Ω |
0.15127901667974 |
Real period |
R |
0.70945607074288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25992q1 51984a1 51984f1 |
Quadratic twists by: -4 -3 -19 |