Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650bt |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
100672000000 = 212 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 11- 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3363,73217] |
[a1,a2,a3,a4,a6] |
Generators |
[22:89:1] |
Generators of the group modulo torsion |
j |
2224882033/53248 |
j-invariant |
L |
10.287737483804 |
L(r)(E,1)/r! |
Ω |
1.0614116934279 |
Real period |
R |
0.40385434884766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146g1 78650n1 |
Quadratic twists by: 5 -11 |