Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950bd |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
127546222125000 = 23 · 3 · 56 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-190051,-31901002] |
[a1,a2,a3,a4,a6] |
Generators |
[2502:121861:1] |
Generators of the group modulo torsion |
j |
48585970090762273/8162958216 |
j-invariant |
L |
6.2056419781703 |
L(r)(E,1)/r! |
Ω |
0.22865814033614 |
Real period |
R |
3.3924234935626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2478e3 |
Quadratic twists by: 5 |