Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728dw |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1998007554816 = -1 · 28 · 36 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -4 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2352,-80948] |
[a1,a2,a3,a4,a6] |
Generators |
[77:441:1] [86:594:1] |
Generators of the group modulo torsion |
j |
-65536/91 |
j-invariant |
L |
11.757219708522 |
L(r)(E,1)/r! |
Ω |
0.32623063379379 |
Real period |
R |
2.2524746472533 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22932n1 10192ba1 13104cj1 |
Quadratic twists by: -4 -3 -7 |