Atkin-Lehner |
2- 3- 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
73692a |
Isogeny class |
Conductor |
73692 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-17405755632 = -1 · 24 · 312 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 2 -6 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,375,-5699] |
[a1,a2,a3,a4,a6] |
Generators |
[12:23:1] [20:99:1] |
Generators of the group modulo torsion |
j |
500000000/1492263 |
j-invariant |
L |
9.8391564807785 |
L(r)(E,1)/r! |
Ω |
0.63067387575552 |
Real period |
R |
7.8005105801578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24564b1 |
Quadratic twists by: -3 |