Atkin-Lehner |
2+ 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950v |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
3387116250000 = 24 · 38 · 57 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3776,11198] |
[a1,a2,a3,a4,a6] |
Generators |
[72:301:1] |
Generators of the group modulo torsion |
j |
380920459249/216775440 |
j-invariant |
L |
5.384685469263 |
L(r)(E,1)/r! |
Ω |
0.6812281845269 |
Real period |
R |
0.49402366117389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390o1 |
Quadratic twists by: 5 |