Atkin-Lehner |
2- 3+ 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650cn |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-538710450000000 = -1 · 27 · 3 · 58 · 174 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 4 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5388,1124781] |
[a1,a2,a3,a4,a6] |
Generators |
[185:-2643:1] |
Generators of the group modulo torsion |
j |
-44284472545/1379098752 |
j-invariant |
L |
10.376791245087 |
L(r)(E,1)/r! |
Ω |
0.43404744602846 |
Real period |
R |
0.28460766227372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650o1 |
Quadratic twists by: 5 |