Atkin-Lehner |
2+ 3- 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
92106bb |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-74173693201219584 = -1 · 220 · 38 · 73 · 17 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 6 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-122256,-21003008] |
[a1,a2,a3,a4,a6] |
Generators |
[459:4178:1] |
Generators of the group modulo torsion |
j |
-277209895426119937/101747178602496 |
j-invariant |
L |
6.9651691420118 |
L(r)(E,1)/r! |
Ω |
0.12535914954655 |
Real period |
R |
4.6301427830961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004588 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30702s1 |
Quadratic twists by: -3 |