Atkin-Lehner |
3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73689p |
Isogeny class |
Conductor |
73689 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-10832283 = -1 · 32 · 73 · 112 · 29 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11- 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,36,-120] |
[a1,a2,a3,a4,a6] |
Generators |
[4:8:1] |
Generators of the group modulo torsion |
j |
42568823/89523 |
j-invariant |
L |
2.5515007470646 |
L(r)(E,1)/r! |
Ω |
1.184430796994 |
Real period |
R |
0.35903332274058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73689h1 |
Quadratic twists by: -11 |