Atkin-Lehner |
2+ 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10050s |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-108274680000 = -1 · 26 · 32 · 54 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,999,-10052] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-846:1] [43:314:1] |
Generators of the group modulo torsion |
j |
176670863975/173239488 |
j-invariant |
L |
4.7771895590831 |
L(r)(E,1)/r! |
Ω |
0.5758540687022 |
Real period |
R |
0.69131947060955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400cm2 30150cy2 10050u2 |
Quadratic twists by: -4 -3 5 |