Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610cn |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1033344 |
Modular degree for the optimal curve |
Δ |
-96015046133029140 = -1 · 22 · 39 · 5 · 139 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 1 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3799,-14907699] |
[a1,a2,a3,a4,a6] |
Generators |
[3394:196033:1] |
Generators of the group modulo torsion |
j |
571787/9054180 |
j-invariant |
L |
12.738776310468 |
L(r)(E,1)/r! |
Ω |
0.15580339607323 |
Real period |
R |
2.2711629258796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610bk1 |
Quadratic twists by: 13 |