Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728k |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-592002238464 = -1 · 211 · 33 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -3 13- 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34251,-2440102] |
[a1,a2,a3,a4,a6] |
Generators |
[217:588:1] |
Generators of the group modulo torsion |
j |
-683064198/91 |
j-invariant |
L |
8.903038732244 |
L(r)(E,1)/r! |
Ω |
0.17546793854444 |
Real period |
R |
1.5855885860728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45864bd1 91728l1 13104f1 |
Quadratic twists by: -4 -3 -7 |