Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51714s |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
169867840648914018 = 2 · 36 · 136 · 176 |
Discriminant |
Eigenvalues |
2- 3- 0 4 6 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-171905,19000271] |
[a1,a2,a3,a4,a6] |
j |
159661140625/48275138 |
j-invariant |
L |
7.1641658492989 |
L(r)(E,1)/r! |
Ω |
0.29850691032255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5746e4 306b4 |
Quadratic twists by: -3 13 |