Atkin-Lehner |
3- 7- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42273d |
Isogeny class |
Conductor |
42273 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
3424113 = 36 · 7 · 11 · 61 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-884,-9890] |
[a1,a2,a3,a4,a6] |
j |
104686895097/4697 |
j-invariant |
L |
1.7512818290791 |
L(r)(E,1)/r! |
Ω |
0.87564091454067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4697c1 |
Quadratic twists by: -3 |