Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360be |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-13742909107200 = -1 · 210 · 33 · 52 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5045,227157] |
[a1,a2,a3,a4,a6] |
Generators |
[4:455:1] |
Generators of the group modulo torsion |
j |
-13870539341824/13420809675 |
j-invariant |
L |
6.2240473413095 |
L(r)(E,1)/r! |
Ω |
0.6434991126002 |
Real period |
R |
0.80601604750222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360go1 5460e1 |
Quadratic twists by: -4 8 |