Atkin-Lehner |
2- 3- 5+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
108630p |
Isogeny class |
Conductor |
108630 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
74584088213067000 = 23 · 311 · 53 · 174 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11660153,15328050081] |
[a1,a2,a3,a4,a6] |
Generators |
[-3159:145212:1] |
Generators of the group modulo torsion |
j |
240496575219110317805641/102310134723000 |
j-invariant |
L |
10.583407767718 |
L(r)(E,1)/r! |
Ω |
0.28057829688742 |
Real period |
R |
3.1433316847874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999619017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36210d2 |
Quadratic twists by: -3 |