Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560cf |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-517363718400000000 = -1 · 214 · 310 · 58 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-261948,62132272] |
[a1,a2,a3,a4,a6] |
Generators |
[5448:112924:27] |
Generators of the group modulo torsion |
j |
-166426126492624/43316015625 |
j-invariant |
L |
6.5109857810125 |
L(r)(E,1)/r! |
Ω |
0.27904680778908 |
Real period |
R |
5.8332380044465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006379 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560fh2 6660d2 35520bm2 |
Quadratic twists by: -4 8 -3 |