Atkin-Lehner |
2+ 5+ 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
108650f |
Isogeny class |
Conductor |
108650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-44546500000 = -1 · 25 · 56 · 412 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 1 -4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,283,-10059] |
[a1,a2,a3,a4,a6] |
Generators |
[53:363:1] |
Generators of the group modulo torsion |
j |
160103007/2850976 |
j-invariant |
L |
2.6124550301082 |
L(r)(E,1)/r! |
Ω |
0.55448121832778 |
Real period |
R |
2.3557651077166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4346b1 |
Quadratic twists by: 5 |