Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984ch |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4727808 |
Modular degree for the optimal curve |
Δ |
-1.5970832652956E+22 |
Discriminant |
Eigenvalues |
2- 3- 4 3 2 -7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4547517,-4799722430] |
[a1,a2,a3,a4,a6] |
Generators |
[416955:52272800:27] |
Generators of the group modulo torsion |
j |
205083359/314928 |
j-invariant |
L |
9.2938313861631 |
L(r)(E,1)/r! |
Ω |
0.065535217911768 |
Real period |
R |
5.9089293781406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6498h1 17328bd1 51984cx1 |
Quadratic twists by: -4 -3 -19 |