Atkin-Lehner |
2+ 3+ 7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23142b |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
164736 |
Modular degree for the optimal curve |
Δ |
-72401903070714 = -1 · 2 · 313 · 72 · 19 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 5 5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59846,5625078] |
[a1,a2,a3,a4,a6] |
Generators |
[157:282:1] |
Generators of the group modulo torsion |
j |
-23705025981806060137/72401903070714 |
j-invariant |
L |
4.3626878051315 |
L(r)(E,1)/r! |
Ω |
0.61691653404726 |
Real period |
R |
3.5358817314477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69426bl1 |
Quadratic twists by: -3 |