Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450dh |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
57187935353250000 = 24 · 36 · 56 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-272630,-53501003] |
[a1,a2,a3,a4,a6] |
Generators |
[-265:421:1] |
Generators of the group modulo torsion |
j |
196741326427281/5020614352 |
j-invariant |
L |
12.395315129698 |
L(r)(E,1)/r! |
Ω |
0.20925808193488 |
Real period |
R |
1.2340538017445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11050d2 3978b2 |
Quadratic twists by: -3 5 |