Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120bk |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8265395001600 = 28 · 36 · 52 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7623,215622] |
[a1,a2,a3,a4,a6] |
Generators |
[22:242:1] |
Generators of the group modulo torsion |
j |
148176/25 |
j-invariant |
L |
5.3771586371427 |
L(r)(E,1)/r! |
Ω |
0.70289278547432 |
Real period |
R |
1.91251025345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999257 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43560q2 9680h2 720d2 |
Quadratic twists by: -4 -3 -11 |