Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560cp |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-261619974144000000 = -1 · 224 · 36 · 56 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141108,13760624] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:1280:1] |
Generators of the group modulo torsion |
j |
1625964918479/1369000000 |
j-invariant |
L |
7.5187231794374 |
L(r)(E,1)/r! |
Ω |
0.2012042393746 |
Real period |
R |
1.5570255071948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560fs2 3330g2 11840c2 |
Quadratic twists by: -4 8 -3 |