Atkin-Lehner |
2- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418bd |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
-94105088 = -1 · 29 · 72 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11+ 3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-64,-512] |
[a1,a2,a3,a4,a6] |
Generators |
[12:16:1] |
Generators of the group modulo torsion |
j |
-592231633/1920512 |
j-invariant |
L |
8.5517653627287 |
L(r)(E,1)/r! |
Ω |
0.77743196418675 |
Real period |
R |
0.6111120941678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33418v1 |
Quadratic twists by: -7 |