Atkin-Lehner |
3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
46023d |
Isogeny class |
Conductor |
46023 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-215944244325081 = -1 · 37 · 237 · 29 |
Discriminant |
Eigenvalues |
-1 3+ -3 0 -3 3 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5808,688602] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:798:1] |
Generators of the group modulo torsion |
j |
146363183/1458729 |
j-invariant |
L |
1.6791478422162 |
L(r)(E,1)/r! |
Ω |
0.41226143716201 |
Real period |
R |
1.0182542501249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2001a1 |
Quadratic twists by: -23 |