Atkin-Lehner |
17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23273a |
Isogeny class |
Conductor |
23273 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
7928805310025293 = 174 · 377 |
Discriminant |
Eigenvalues |
0 -3 0 3 -1 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-54760,2444007] |
[a1,a2,a3,a4,a6] |
Generators |
[37:684:1] |
Generators of the group modulo torsion |
j |
7077888000/3090277 |
j-invariant |
L |
2.7062448782595 |
L(r)(E,1)/r! |
Ω |
0.37426562399973 |
Real period |
R |
0.90385167135383 |
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 |
629c1 |
Quadratic twists by: 37 |