Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150ct |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
419002377656250 = 2 · 3 · 57 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27436188,-55316121258] |
[a1,a2,a3,a4,a6] |
j |
3107086841064961/570 |
j-invariant |
L |
2.1109045230005 |
L(r)(E,1)/r! |
Ω |
0.065965766335537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830h3 2850b4 |
Quadratic twists by: 5 -19 |