Atkin-Lehner |
3+ 5+ 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73935a |
Isogeny class |
Conductor |
73935 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
155389707045 = 39 · 5 · 313 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 1 3 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2175,34676] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:1931:8] |
Generators of the group modulo torsion |
j |
57825915363/7894615 |
j-invariant |
L |
7.3689581141529 |
L(r)(E,1)/r! |
Ω |
0.98653065335229 |
Real period |
R |
3.7347841596441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73935c1 |
Quadratic twists by: -3 |