Atkin-Lehner |
2+ 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
46746a |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-6158166669720576 = -1 · 210 · 39 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97323,12305285] |
[a1,a2,a3,a4,a6] |
j |
-44024370291/2659328 |
j-invariant |
L |
1.6732367555962 |
L(r)(E,1)/r! |
Ω |
0.41830918899434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46746y1 6678a1 |
Quadratic twists by: -3 -7 |