Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
104040s |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-94691165356800 = -1 · 28 · 311 · 52 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9537,301138] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:540:1] |
Generators of the group modulo torsion |
j |
6154544/6075 |
j-invariant |
L |
6.860694450037 |
L(r)(E,1)/r! |
Ω |
0.39553989610584 |
Real period |
R |
2.1681423664117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680by1 104040z1 |
Quadratic twists by: -3 17 |