Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720dg |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
537942188202393600 = 223 · 39 · 52 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-229932,23572944] |
[a1,a2,a3,a4,a6] |
j |
260549802603/104256800 |
j-invariant |
L |
4.2494059169222 |
L(r)(E,1)/r! |
Ω |
0.26558786995629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720i2 13680v2 54720cx2 |
Quadratic twists by: -4 8 -3 |