Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360bb |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
209763965250000 = 24 · 33 · 56 · 75 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22182,1063669] |
[a1,a2,a3,a4,a6] |
Generators |
[38:525:1] |
Generators of the group modulo torsion |
j |
2794100790417408/485564734375 |
j-invariant |
L |
7.89881526738 |
L(r)(E,1)/r! |
Ω |
0.53621251283165 |
Real period |
R |
0.24551258667655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108360f1 |
Quadratic twists by: -3 |