Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974bg |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-177749231725932048 = -1 · 24 · 34 · 710 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4999,20282765] |
[a1,a2,a3,a4,a6] |
Generators |
[101:4512:1] |
Generators of the group modulo torsion |
j |
-117433042273/1510843540752 |
j-invariant |
L |
7.8309602719955 |
L(r)(E,1)/r! |
Ω |
0.25647609523372 |
Real period |
R |
1.9083065676315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282x4 |
Quadratic twists by: -7 |