Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cv |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
654151680 = 212 · 33 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1225,16055] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:156:1] |
Generators of the group modulo torsion |
j |
49673699776/159705 |
j-invariant |
L |
8.5446276873069 |
L(r)(E,1)/r! |
Ω |
1.6243060663949 |
Real period |
R |
0.87674647238633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005363 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bi1 43680bd1 |
Quadratic twists by: -4 8 |