Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560ds |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
44148370636800 = 216 · 39 · 52 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56268,-5127408] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:80:1] |
Generators of the group modulo torsion |
j |
15273442188/34225 |
j-invariant |
L |
3.9965314869044 |
L(r)(E,1)/r! |
Ω |
0.31002210338643 |
Real period |
R |
1.6113897446023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999572857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560l2 26640c2 106560eb2 |
Quadratic twists by: -4 8 -3 |