Atkin-Lehner |
2- 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
120516g |
Isogeny class |
Conductor |
120516 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1465344 |
Modular degree for the optimal curve |
Δ |
-9185897517375744 = -1 · 28 · 316 · 112 · 832 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- 1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-789444,-270281772] |
[a1,a2,a3,a4,a6] |
j |
-1756559687453670352/296548860969 |
j-invariant |
L |
2.5626237825705 |
L(r)(E,1)/r! |
Ω |
0.080081976315631 |
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 |
120516l1 |
Quadratic twists by: -11 |