Atkin-Lehner |
2- 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55692i |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
140798955024 = 24 · 39 · 7 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 0 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16929,-847611] |
[a1,a2,a3,a4,a6] |
Generators |
[228:2673:1] [-606:81:8] |
Generators of the group modulo torsion |
j |
1703751895296/447083 |
j-invariant |
L |
8.8361055046284 |
L(r)(E,1)/r! |
Ω |
0.41855117684983 |
Real period |
R |
10.555585545277 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55692k1 |
Quadratic twists by: -3 |