Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200bi |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.4542037336737E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-502461208,-4335256623412] |
[a1,a2,a3,a4,a6] |
Generators |
[-42323588074937890775886982:-1326939609971378034067125:3278244175006209961096] |
Generators of the group modulo torsion |
j |
14029148987070448204072/145420373367369 |
j-invariant |
L |
9.4410264841299 |
L(r)(E,1)/r! |
Ω |
0.031887773031609 |
Real period |
R |
37.008803006965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200n2 127200ct2 |
Quadratic twists by: -4 5 |