Atkin-Lehner |
2+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400bk |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
407040 |
Modular degree for the optimal curve |
Δ |
-1484800000000 = -1 · 217 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 6 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-472833,124986463] |
[a1,a2,a3,a4,a6] |
Generators |
[397:12:1] |
Generators of the group modulo torsion |
j |
-228337902530/29 |
j-invariant |
L |
2.9424932833022 |
L(r)(E,1)/r! |
Ω |
0.66027664910097 |
Real period |
R |
2.2282275825604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400cp1 5800l1 46400q1 |
Quadratic twists by: -4 8 5 |