Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400bm |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2276736000 = 210 · 3 · 53 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-448,2992] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:70:1] |
Generators of the group modulo torsion |
j |
77860436/17787 |
j-invariant |
L |
5.559030007204 |
L(r)(E,1)/r! |
Ω |
1.3732733592717 |
Real period |
R |
1.0120035418318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200dd2 92400ct2 |
Quadratic twists by: -4 5 |