Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
73206u |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-9796999505707008 = -1 · 216 · 37 · 77 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21618,-4911404] |
[a1,a2,a3,a4,a6] |
Generators |
[219:797:1] [2830:43567:8] |
Generators of the group modulo torsion |
j |
-13027640977/114229248 |
j-invariant |
L |
6.9278228005027 |
L(r)(E,1)/r! |
Ω |
0.17257789706831 |
Real period |
R |
10.035790964838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999813 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24402s1 10458f1 |
Quadratic twists by: -3 -7 |