Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680ba |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3.9326951882865E+22 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25354576,-50065882476] |
[a1,a2,a3,a4,a6] |
Generators |
[13764:1486170:1] |
Generators of the group modulo torsion |
j |
-3740628669743972161/81609759641200 |
j-invariant |
L |
3.3748748668387 |
L(r)(E,1)/r! |
Ω |
0.033596548130858 |
Real period |
R |
6.2783139774097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14210o3 16240q3 |
Quadratic twists by: -4 -7 |