Atkin-Lehner |
2+ 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290bb |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2574085630051455660 = -1 · 22 · 318 · 5 · 7 · 834 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-934920,356637820] |
[a1,a2,a3,a4,a6] |
Generators |
[-6962:184255:8] [521:-3541:1] |
Generators of the group modulo torsion |
j |
-123970912046497595521/3530981659878540 |
j-invariant |
L |
6.9486472483778 |
L(r)(E,1)/r! |
Ω |
0.25582910334283 |
Real period |
R |
3.3951606548982 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430ba4 |
Quadratic twists by: -3 |