Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050jk |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
3.00784484385E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1430888,-603772608] |
[a1,a2,a3,a4,a6] |
j |
93638512421/8692992 |
j-invariant |
L |
6.6652222965151 |
L(r)(E,1)/r! |
Ω |
0.13885880607676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050bx1 11550bd1 |
Quadratic twists by: 5 -11 |