Atkin-Lehner |
2+ 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050cb |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1482167808000 = -1 · 212 · 36 · 53 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2763,16821] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-447:1] [115:1301:1] |
Generators of the group modulo torsion |
j |
25594132123/16265216 |
j-invariant |
L |
7.3397238937802 |
L(r)(E,1)/r! |
Ω |
0.52858587432915 |
Real period |
R |
3.4713961582686 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450bg1 94050dz1 |
Quadratic twists by: -3 5 |