Atkin-Lehner |
2- 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16324b |
Isogeny class |
Conductor |
16324 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-122912145664 = -1 · 28 · 77 · 11 · 53 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ 11- 5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3316,-76524] |
[a1,a2,a3,a4,a6] |
Generators |
[127633:937822:1331] |
Generators of the group modulo torsion |
j |
-15756446357584/480125569 |
j-invariant |
L |
3.0334217480173 |
L(r)(E,1)/r! |
Ω |
0.31399727559694 |
Real period |
R |
9.660662635529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65296v1 114268e1 |
Quadratic twists by: -4 -7 |