Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760bd |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1126349313868800 = 210 · 39 · 52 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30243,-1220942] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:490:1] [-127:756:1] |
Generators of the group modulo torsion |
j |
4097989445764/1508848425 |
j-invariant |
L |
11.293616314211 |
L(r)(E,1)/r! |
Ω |
0.37323442640333 |
Real period |
R |
0.63039113375465 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47880ba1 31920p1 |
Quadratic twists by: -4 -3 |