Atkin-Lehner |
2- 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618ci |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
901200499056769002 = 2 · 3 · 79 · 134 · 194 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-600104,-173054442] |
[a1,a2,a3,a4,a6] |
Generators |
[41649055887450:-409030819094403:44738875000] |
Generators of the group modulo torsion |
j |
203149183893111793/7660077850698 |
j-invariant |
L |
11.08620803241 |
L(r)(E,1)/r! |
Ω |
0.17192926201532 |
Real period |
R |
16.120304219735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10374j3 |
Quadratic twists by: -7 |