Atkin-Lehner |
3- 5+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67425k |
Isogeny class |
Conductor |
67425 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
463104 |
Modular degree for the optimal curve |
Δ |
-49439170546875 = -1 · 33 · 57 · 293 · 312 |
Discriminant |
Eigenvalues |
-2 3- 5+ -4 -5 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15658,821344] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:1087:1] [149:1348:1] |
Generators of the group modulo torsion |
j |
-27173168902144/3164106915 |
j-invariant |
L |
5.1373120504684 |
L(r)(E,1)/r! |
Ω |
0.61673332249469 |
Real period |
R |
0.11569272107409 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13485b1 |
Quadratic twists by: 5 |