Atkin-Lehner |
2- 3- 7+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
41118s |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
77 |
Product of Tamagawa factors cp |
deg |
61600 |
Modular degree for the optimal curve |
Δ |
-155390514048 = -1 · 27 · 311 · 7 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1684,32528] |
[a1,a2,a3,a4,a6] |
Generators |
[32:92:1] |
Generators of the group modulo torsion |
j |
-528160711369537/155390514048 |
j-invariant |
L |
9.1752062996465 |
L(r)(E,1)/r! |
Ω |
0.97185275833691 |
Real period |
R |
0.12260964672873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123354o1 |
Quadratic twists by: -3 |