Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
95760fe |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
333594132480000 = 218 · 37 · 54 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104187,-12914134] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:70:1] |
Generators of the group modulo torsion |
j |
41886766402489/111720000 |
j-invariant |
L |
6.9609148229636 |
L(r)(E,1)/r! |
Ω |
0.26577601772466 |
Real period |
R |
1.6369316557159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11970cc1 31920y1 |
Quadratic twists by: -4 -3 |