Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
17040bb |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
141115737600000000 = 215 · 37 · 58 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1478200,691019348] |
[a1,a2,a3,a4,a6] |
Generators |
[1046:-17040:1] |
Generators of the group modulo torsion |
j |
87209470930780783801/34452084375000 |
j-invariant |
L |
6.5258788511739 |
L(r)(E,1)/r! |
Ω |
0.3213000573656 |
Real period |
R |
0.18134691893506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130c2 68160cc2 51120y2 85200cd2 |
Quadratic twists by: -4 8 -3 5 |