Atkin-Lehner |
2+ 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488p |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
225280 |
Modular degree for the optimal curve |
Δ |
352358802432 = 210 · 37 · 72 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28731,-1874234] |
[a1,a2,a3,a4,a6] |
Generators |
[575:13104:1] |
Generators of the group modulo torsion |
j |
3513568732132/472017 |
j-invariant |
L |
5.4070363963795 |
L(r)(E,1)/r! |
Ω |
0.36670376593908 |
Real period |
R |
1.8431213684967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496ba1 |
Quadratic twists by: -3 |