Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640b |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
57881250000000000 = 210 · 33 · 514 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-547323,155422022] |
[a1,a2,a3,a4,a6] |
j |
1912039973861076/6103515625 |
j-invariant |
L |
1.4140874544604 |
L(r)(E,1)/r! |
Ω |
0.3535218636151 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280h2 17640bt2 88200eo2 17640h2 |
Quadratic twists by: -4 -3 5 -7 |