Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720dj |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
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 |
[-46:1280:1] |
Generators of the group modulo torsion |
j |
3301293169/22800 |
j-invariant |
L |
4.595425717762 |
L(r)(E,1)/r! |
Ω |
0.78094641919474 |
Real period |
R |
1.4711078778236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720bc1 13680br1 18240cb1 |
Quadratic twists by: -4 8 -3 |