Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630k |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
77474880 |
Modular degree for the optimal curve |
Δ |
-3.0911488341815E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4256976639,106905139935442] |
[a1,a2,a3,a4,a6] |
Generators |
[37655:-24012:1] [-57682:12699144:1] |
Generators of the group modulo torsion |
j |
-44502953307765248329/1612431360 |
j-invariant |
L |
8.49741987678 |
L(r)(E,1)/r! |
Ω |
0.071515192183328 |
Real period |
R |
19.803297773364 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111630y1 |
Quadratic twists by: 61 |