Atkin-Lehner |
2+ 3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650w |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-3761445903750000 = -1 · 24 · 39 · 57 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,38224,-654802] |
[a1,a2,a3,a4,a6] |
Generators |
[132:-2654:1] |
Generators of the group modulo torsion |
j |
395301457715471/240732537840 |
j-invariant |
L |
6.0243269442344 |
L(r)(E,1)/r! |
Ω |
0.25640283187723 |
Real period |
R |
0.32632715850339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11730h1 |
Quadratic twists by: 5 |