Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400p |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
43222410000000000 = 210 · 36 · 510 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-316008,67744512] |
[a1,a2,a3,a4,a6] |
j |
218121931923844/2701400625 |
j-invariant |
L |
2.8966411584493 |
L(r)(E,1)/r! |
Ω |
0.36208014198926 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46200cr2 18480x2 |
Quadratic twists by: -4 5 |