Atkin-Lehner |
2- 3- 7+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
119574bc |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-949178412 = -1 · 22 · 36 · 73 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -3 13- 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-509,4785] |
[a1,a2,a3,a4,a6] |
j |
-19968681097/1302028 |
j-invariant |
L |
6.1747035831903 |
L(r)(E,1)/r! |
Ω |
1.5436760021392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13286c1 |
Quadratic twists by: -3 |