Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150dy |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-4799410455937500 = -1 · 22 · 314 · 57 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-157505,-24250003] |
[a1,a2,a3,a4,a6] |
Generators |
[62977818:1138061815:97336] |
Generators of the group modulo torsion |
j |
-37936442980801/421347420 |
j-invariant |
L |
11.545340973189 |
L(r)(E,1)/r! |
Ω |
0.11974538587509 |
Real period |
R |
12.05196851934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050x1 22230m1 |
Quadratic twists by: -3 5 |