Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40344f |
Isogeny class |
Conductor |
40344 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-2.036577537478E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -1 -4 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-620849,287188515] |
[a1,a2,a3,a4,a6] |
Generators |
[1093:30258:1] |
Generators of the group modulo torsion |
j |
-21764027392/16747803 |
j-invariant |
L |
5.8862634603249 |
L(r)(E,1)/r! |
Ω |
0.19843821256308 |
Real period |
R |
1.4831476720877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80688d1 121032e1 984c1 |
Quadratic twists by: -4 -3 41 |