Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120bw |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-55889222400 = -1 · 28 · 38 · 52 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,11374] |
[a1,a2,a3,a4,a6] |
Generators |
[5:108:1] |
Generators of the group modulo torsion |
j |
16/225 |
j-invariant |
L |
8.77521267394 |
L(r)(E,1)/r! |
Ω |
0.88109847990008 |
Real period |
R |
1.2449250670216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560x2 29040w2 87120bx2 |
Quadratic twists by: -4 -3 -11 |