Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400do |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-74118870000 = -1 · 24 · 32 · 54 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15108,719937] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-735:1] [72:15:1] |
Generators of the group modulo torsion |
j |
-324179200/63 |
j-invariant |
L |
6.9915403037332 |
L(r)(E,1)/r! |
Ω |
1.0591226221564 |
Real period |
R |
0.13752618121267 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800eq1 88200ee1 29400bw1 4200be1 |
Quadratic twists by: -4 -3 5 -7 |