Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400be |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1655280000000 = -1 · 210 · 32 · 57 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,64688] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:288:1] |
Generators of the group modulo torsion |
j |
-19307236/103455 |
j-invariant |
L |
7.8522538029595 |
L(r)(E,1)/r! |
Ω |
0.72896688156385 |
Real period |
R |
2.6929391277627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080j1 |
Quadratic twists by: 5 |