Atkin-Lehner |
2+ 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950g |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
-17423437500000000 = -1 · 28 · 33 · 514 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-77525,-10489875] |
[a1,a2,a3,a4,a6] |
Generators |
[2244487192305:-5833517635215:6761990971] |
Generators of the group modulo torsion |
j |
-3297902135604049/1115100000000 |
j-invariant |
L |
4.6357920267514 |
L(r)(E,1)/r! |
Ω |
0.14065034176277 |
Real period |
R |
16.479846294992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390s1 |
Quadratic twists by: 5 |