Atkin-Lehner |
2- 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
112554u |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
156307214455434432 = 26 · 37 · 138 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1572746,759319305] |
[a1,a2,a3,a4,a6] |
Generators |
[855:-6681:1] |
Generators of the group modulo torsion |
j |
122267653919137/44421312 |
j-invariant |
L |
8.6199024676275 |
L(r)(E,1)/r! |
Ω |
0.31815539910547 |
Real period |
R |
1.1288904863794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37518b2 8658a2 |
Quadratic twists by: -3 13 |