Atkin-Lehner |
3+ 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116025t |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
84036636581625 = 32 · 53 · 76 · 133 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 0 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-594678,-176757894] |
[a1,a2,a3,a4,a6] |
Generators |
[-446:242:1] |
Generators of the group modulo torsion |
j |
186062718168914933429/672293092653 |
j-invariant |
L |
3.021725510982 |
L(r)(E,1)/r! |
Ω |
0.17192109832062 |
Real period |
R |
1.4646861691188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000017309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116025bq1 |
Quadratic twists by: 5 |