Atkin-Lehner |
2- 5+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
11570d |
Isogeny class |
Conductor |
11570 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9576 |
Modular degree for the optimal curve |
Δ |
-30552031250 = -1 · 2 · 57 · 133 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 0 13- 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,747,-3169] |
[a1,a2,a3,a4,a6] |
j |
46156243081311/30552031250 |
j-invariant |
L |
2.0064346256105 |
L(r)(E,1)/r! |
Ω |
0.66881154187016 |
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 |
92560k1 104130w1 57850c1 |
Quadratic twists by: -4 -3 5 |