Atkin-Lehner |
3+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42891h |
Isogeny class |
Conductor |
42891 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
320160 |
Modular degree for the optimal curve |
Δ |
-125343241970747043 = -1 · 3 · 174 · 298 |
Discriminant |
Eigenvalues |
0 3+ 0 -1 -6 -2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-162593,-30391630] |
[a1,a2,a3,a4,a6] |
Generators |
[1546:58403:1] |
Generators of the group modulo torsion |
j |
-950272000/250563 |
j-invariant |
L |
2.5156869003865 |
L(r)(E,1)/r! |
Ω |
0.11725920683112 |
Real period |
R |
5.3635167940555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128673j1 42891i1 |
Quadratic twists by: -3 29 |