Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720bc |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
4357147852800 = 222 · 37 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17868,-913808] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:72:1] |
Generators of the group modulo torsion |
j |
3301293169/22800 |
j-invariant |
L |
5.9219529483612 |
L(r)(E,1)/r! |
Ω |
0.41310583088507 |
Real period |
R |
1.7918994678811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720dj1 1710h1 18240bn1 |
Quadratic twists by: -4 8 -3 |