Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
11160f |
Isogeny class |
Conductor |
11160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2802276000000 = 28 · 36 · 56 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46503,3859002] |
[a1,a2,a3,a4,a6] |
Generators |
[114:198:1] |
Generators of the group modulo torsion |
j |
59593532744016/15015625 |
j-invariant |
L |
4.4960599048581 |
L(r)(E,1)/r! |
Ω |
0.78617967085345 |
Real period |
R |
2.8594353628969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22320e2 89280cp2 1240g2 55800bz2 |
Quadratic twists by: -4 8 -3 5 |