Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384bl |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-10560445632 = -1 · 26 · 37 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- -7 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1794,29662] |
[a1,a2,a3,a4,a6] |
Generators |
[29:45:1] |
Generators of the group modulo torsion |
j |
-13686220288/226347 |
j-invariant |
L |
9.0151835874816 |
L(r)(E,1)/r! |
Ω |
1.2855775591065 |
Real period |
R |
1.7531387991851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939621 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384ba1 60192f1 40128r1 |
Quadratic twists by: -4 8 -3 |