Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43316o |
Isogeny class |
Conductor |
43316 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
205632 |
Modular degree for the optimal curve |
Δ |
-24114669885488 = -1 · 24 · 79 · 133 · 17 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 1 13- 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67685,-6759374] |
[a1,a2,a3,a4,a6] |
j |
-53113520128/37349 |
j-invariant |
L |
0.88793024837098 |
L(r)(E,1)/r! |
Ω |
0.14798837473181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43316h1 |
Quadratic twists by: -7 |