Atkin-Lehner |
2+ 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336q |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
15204408912 = 24 · 310 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48306,-4086479] |
[a1,a2,a3,a4,a6] |
Generators |
[1169:39204:1] |
Generators of the group modulo torsion |
j |
1068758132021248/1303533 |
j-invariant |
L |
4.8572551471478 |
L(r)(E,1)/r! |
Ω |
0.32203221351827 |
Real period |
R |
3.7707835855762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112u1 |
Quadratic twists by: -3 |