Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920hx |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-18923520 = -1 · 214 · 3 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,-397] |
[a1,a2,a3,a4,a6] |
Generators |
[15343654:51695049:912673] |
Generators of the group modulo torsion |
j |
-4194304/1155 |
j-invariant |
L |
9.5023728115161 |
L(r)(E,1)/r! |
Ω |
0.77430772300207 |
Real period |
R |
12.272088382618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73920bc1 18480by1 |
Quadratic twists by: -4 8 |