Atkin-Lehner |
2- 3- 7+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354br |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-29975022 = -1 · 2 · 37 · 7 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- -5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149,-709] |
[a1,a2,a3,a4,a6] |
j |
-498677257/41118 |
j-invariant |
L |
2.7215515520538 |
L(r)(E,1)/r! |
Ω |
0.68038772149633 |
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 |
41118e1 |
Quadratic twists by: -3 |