Atkin-Lehner |
2+ 7+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
116522b |
Isogeny class |
Conductor |
116522 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
189168 |
Modular degree for the optimal curve |
Δ |
-13708696778 = -1 · 2 · 78 · 29 · 41 |
Discriminant |
Eigenvalues |
2+ 3 -2 7+ 4 -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-793,-10081] |
[a1,a2,a3,a4,a6] |
Generators |
[80734949205:75688683802:2347334289] |
Generators of the group modulo torsion |
j |
-9573417/2378 |
j-invariant |
L |
8.1330959887352 |
L(r)(E,1)/r! |
Ω |
0.44399889276162 |
Real period |
R |
18.317829439052 |
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 |
116522h1 |
Quadratic twists by: -7 |