Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150fi |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-37934540243730000 = -1 · 24 · 314 · 54 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 3 13- 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-148280,-23854453] |
[a1,a2,a3,a4,a6] |
Generators |
[573:8605:1] |
Generators of the group modulo torsion |
j |
-791336417828425/83258250192 |
j-invariant |
L |
9.9233482363297 |
L(r)(E,1)/r! |
Ω |
0.12092714199238 |
Real period |
R |
1.7095948694087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050bh1 111150z1 |
Quadratic twists by: -3 5 |