Atkin-Lehner |
2- 3- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520bl |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
-327378497585356800 = -1 · 213 · 310 · 52 · 114 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-417176,107163924] |
[a1,a2,a3,a4,a6] |
Generators |
[-716:6270:1] [670:-11352:1] |
Generators of the group modulo torsion |
j |
-1960300957978308889/79926391012050 |
j-invariant |
L |
12.658335368295 |
L(r)(E,1)/r! |
Ω |
0.30235459452155 |
Real period |
R |
0.26166163007255 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190a2 |
Quadratic twists by: -4 |