Atkin-Lehner |
2+ 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83952f |
Isogeny class |
Conductor |
83952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
81458541648 = 24 · 38 · 114 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1794,25823] |
[a1,a2,a3,a4,a6] |
Generators |
[-302:1595:8] |
Generators of the group modulo torsion |
j |
54744881152/6983757 |
j-invariant |
L |
7.8896889430463 |
L(r)(E,1)/r! |
Ω |
1.0434751994617 |
Real period |
R |
3.7804870467055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41976b1 27984a1 |
Quadratic twists by: -4 -3 |