Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
73206bs |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-2635289837365248 = -1 · 211 · 38 · 73 · 833 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -5 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4262,-2471115] |
[a1,a2,a3,a4,a6] |
Generators |
[485:10215:1] |
Generators of the group modulo torsion |
j |
-34233150223/10539177984 |
j-invariant |
L |
5.4705950101401 |
L(r)(E,1)/r! |
Ω |
0.20389399684978 |
Real period |
R |
0.20326199996622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24402b1 73206bm1 |
Quadratic twists by: -3 -7 |