Atkin-Lehner |
2- 3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
65736l |
Isogeny class |
Conductor |
65736 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
46202502373632 = 28 · 39 · 113 · 832 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8991,26946] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:154:1] [-51:594:1] |
Generators of the group modulo torsion |
j |
15952047984/9169259 |
j-invariant |
L |
9.8262588375452 |
L(r)(E,1)/r! |
Ω |
0.54464343431517 |
Real period |
R |
1.5034697042791 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65736a1 |
Quadratic twists by: -3 |