Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950im |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-1175059388160000000 = -1 · 214 · 33 · 57 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-885088,324641792] |
[a1,a2,a3,a4,a6] |
Generators |
[872:-15136:1] |
Generators of the group modulo torsion |
j |
-41713327443241/639221760 |
j-invariant |
L |
15.169954790112 |
L(r)(E,1)/r! |
Ω |
0.27466144181985 |
Real period |
R |
0.32875873888206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990b1 2550s1 |
Quadratic twists by: 5 -7 |