Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574ck |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-5872218857434580112 = -1 · 24 · 33 · 78 · 119 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-358828,142930976] |
[a1,a2,a3,a4,a6] |
j |
-500313625/574992 |
j-invariant |
L |
5.2126553549385 |
L(r)(E,1)/r! |
Ω |
0.21719397312301 |
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 |
106722bq1 35574bx1 3234j1 |
Quadratic twists by: -3 -7 -11 |