Atkin-Lehner |
2- 3- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73458bg |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-16852669914415104 = -1 · 218 · 38 · 75 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-559283,161249555] |
[a1,a2,a3,a4,a6] |
Generators |
[315:3874:1] |
Generators of the group modulo torsion |
j |
-26539351829382649321/23117517029376 |
j-invariant |
L |
10.27942242209 |
L(r)(E,1)/r! |
Ω |
0.38769837700405 |
Real period |
R |
0.14729982307477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24486f1 |
Quadratic twists by: -3 |