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 |
Δ |
10494520450848000 = 28 · 33 · 53 · 710 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102807,-11691206] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:980:1] |
Generators of the group modulo torsion |
j |
17385534268031088/1518304463375 |
j-invariant |
L |
7.89881526738 |
L(r)(E,1)/r! |
Ω |
0.26810625641583 |
Real period |
R |
0.4910251733531 |
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 |
108360f2 |
Quadratic twists by: -3 |