Atkin-Lehner |
2- 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
105336bh |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
7371834624 = 28 · 39 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,-10908] |
[a1,a2,a3,a4,a6] |
j |
20155392/1463 |
j-invariant |
L |
3.4357999506673 |
L(r)(E,1)/r! |
Ω |
0.85894995170059 |
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 |
105336i1 |
Quadratic twists by: -3 |